De Lima, Henrique F.; Gomes, Wallace F.; Santos, Márcio S.; Velásquez, Marco Antonio L. On the geometry of spacelike mean curvature flow solitons immersed in a GRW spacetime. (English) Zbl 07823109 J. Aust. Math. Soc. 116, No. 2, 221-256 (2024). MSC: 53C42 53C50 53E10 PDFBibTeX XMLCite \textit{H. F. De Lima} et al., J. Aust. Math. Soc. 116, No. 2, 221--256 (2024; Zbl 07823109) Full Text: DOI
de Lima, Henrique F.; dos Santos, Fábio R.; Rocha, Lucas S. Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces. (English) Zbl 07812507 Ann. Pol. Math. 132, No. 1, 25-49 (2024). Reviewer: Andrea Tamburelli (Houston) MSC: 53C42 53C20 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Ann. Pol. Math. 132, No. 1, 25--49 (2024; Zbl 07812507) Full Text: DOI
Antonia, Railane; de Lima, Henrique F.; Santos, Márcio S. Rigidity and nonexistence of Riemannian immersions in semi-Riemannian warped products via parabolicity. (English) Zbl 07798889 J. Korean Math. Soc. 61, No. 1, 41-63 (2024). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{R. Antonia} et al., J. Korean Math. Soc. 61, No. 1, 41--63 (2024; Zbl 07798889) Full Text: DOI
Barboza, Weiller F. C.; de Lima, Henrique F.; Velásquez, Marco Antonio L. Stochastically complete, parabolic and \(L^1\)-Liouville spacelike submanifolds with parallel mean curvature vector. (English) Zbl 07798444 Potential Anal. 60, No. 1, 27-43 (2024). Reviewer: Andrea Tamburelli (Houston) MSC: 53C40 53C42 53A10 53C20 PDFBibTeX XMLCite \textit{W. F. C. Barboza} et al., Potential Anal. 60, No. 1, 27--43 (2024; Zbl 07798444) Full Text: DOI
Velásquez, Marco A. L.; de Lima, Henrique F.; de Lacerda, José H. H. Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimes. (English) Zbl 07792607 Collect. Math. 75, No. 1, 189-211 (2024). Reviewer: Andrea Tamburelli (Houston) MSC: 53C42 53E10 53C50 53Z05 PDFBibTeX XMLCite \textit{M. A. L. Velásquez} et al., Collect. Math. 75, No. 1, 189--211 (2024; Zbl 07792607) Full Text: DOI
Batista, Márcio; Bisci, Giovanni Molica; De Lima, Henrique Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density. (English) Zbl 07817689 Math. Eng. (Springfield) 5, No. 3, Paper No. 54, 18 p. (2023). Reviewer: Andrea Tamburelli (Houston) MSC: 53C50 53C40 PDFBibTeX XMLCite \textit{M. Batista} et al., Math. Eng. (Springfield) 5, No. 3, Paper No. 54, 18 p. (2023; Zbl 07817689) Full Text: DOI
Bisci, Giovanni Molica; De Lacerda, José H. H.; De Lima, Henrique F.; Velásquez, Marco A. L. On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes. (English) Zbl 07800046 Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, 3212-3257 (2023). MSC: 53C42 53C50 53Z05 PDFBibTeX XMLCite \textit{G. M. Bisci} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, 3212--3257 (2023; Zbl 07800046) Full Text: DOI
Antonia, Railane; Molica, Bisci Giovanni; De Lima, Henrique F.; Santos, Márcio S. Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs. (English) Zbl 1528.35195 Asymptotic Anal. 135, No. 3-4, 363-398 (2023). MSC: 35Q75 35Q76 83F05 83C57 83C05 53C24 53C15 53C50 PDFBibTeX XMLCite \textit{R. Antonia} et al., Asymptotic Anal. 135, No. 3--4, 363--398 (2023; Zbl 1528.35195) Full Text: DOI
Batista, Márcio; Molica Bisci, Giovanni; de Lima, Henrique F.; Gomes, Wallace F. Solitons of the spacelike mean curvature flow in generalized Robertson-Walker spacetimes. (English) Zbl 1525.53090 New York J. Math. 29, 554-579 (2023). Reviewer: Anton Galaev (Hradec Králové) MSC: 53E10 PDFBibTeX XMLCite \textit{M. Batista} et al., New York J. Math. 29, 554--579 (2023; Zbl 1525.53090) Full Text: Link
da Silva, Danilo F.; Lima, Eraldo A. jun.; de Lima, Henrique F. Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces. (English) Zbl 1520.53049 SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 4, 16 p. (2023). Reviewer: Mohammed Abdelmalek (Tlemcen) MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{D. F. da Silva} et al., SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 4, 16 p. (2023; Zbl 1520.53049) Full Text: DOI
Barboza, Weiller F. C.; de Lima, Henrique F.; Velásquez, Marco Antonio L. Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space. (English) Zbl 1528.53060 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 69, No. 1, 95-109 (2023). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{W. F. C. Barboza} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 69, No. 1, 95--109 (2023; Zbl 1528.53060) Full Text: DOI
de Lima, Henrique F.; Rocha, Lucas S.; Velásquez, Marco Antonio L. Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike. (English) Zbl 1511.53015 Arab. J. Math. 12, No. 1, 151-160 (2023). MSC: 53B25 53C40 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Arab. J. Math. 12, No. 1, 151--160 (2023; Zbl 1511.53015) Full Text: DOI
da Silva, Railane A.; de Lima, Henrique F. \(L\)-parabolic linear Weingarten spacelike hypersurfaces in a locally symmetric Einstein spacetime. (English) Zbl 1510.53074 Rend. Circ. Mat. Palermo (2) 72, No. 1, 37-47 (2023). MSC: 53C42 53C20 53C50 PDFBibTeX XMLCite \textit{R. A. da Silva} and \textit{H. F. de Lima}, Rend. Circ. Mat. Palermo (2) 72, No. 1, 37--47 (2023; Zbl 1510.53074) Full Text: DOI
Freitas, Allan; de Lima, Henrique F.; Santos, Márcio S.; Sindeaux, Joyce S. Nonexistence and rigidity of spacelike mean curvature flow solitons immersed in a GRW spacetime. (English) Zbl 1508.53066 Ann. Global Anal. Geom. 63, No. 1, Paper No. 2, 35 p. (2023). MSC: 53C42 53C50 53E10 PDFBibTeX XMLCite \textit{A. Freitas} et al., Ann. Global Anal. Geom. 63, No. 1, Paper No. 2, 35 p. (2023; Zbl 1508.53066) Full Text: DOI
Colares, A. Gervasio; de Lima, Henrique F.; Velásquez, Marco Antonio L. Revisiting the geometry of horospheres of the hyperbolic space. (English) Zbl 1504.53076 Monatsh. Math. 199, No. 4, 771-784 (2022). MSC: 53C42 53A10 53A35 53C20 PDFBibTeX XMLCite \textit{A. G. Colares} et al., Monatsh. Math. 199, No. 4, 771--784 (2022; Zbl 1504.53076) Full Text: DOI
Barboza, Weiller F. C.; de Lima, Henrique F.; Oliveira, Arlandson M. S.; Velásquez, Marco Antonio L. Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates. (English) Zbl 1504.53074 Colloq. Math. 170, No. 2, 253-273 (2022). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{W. F. C. Barboza} et al., Colloq. Math. 170, No. 2, 253--273 (2022; Zbl 1504.53074) Full Text: DOI
Batista, Márcio; de Lima, Henrique F. Spacelike translating solitons in Lorentzian product spaces: nonexistence, Calabi-Bernstein type results and examples. (English) Zbl 1507.53089 Commun. Contemp. Math. 24, No. 8, Article ID 2150034, 20 p. (2022). Reviewer: Anton Galaev (Hradec Králové) MSC: 53E10 53C42 53B30 PDFBibTeX XMLCite \textit{M. Batista} and \textit{H. F. de Lima}, Commun. Contemp. Math. 24, No. 8, Article ID 2150034, 20 p. (2022; Zbl 1507.53089) Full Text: DOI
Barboza, Weiller F. C.; de Lima, Eudes L.; de Lima, Henrique F.; Velásquez, Marco Antonio L. On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space. (English) Zbl 07569085 Bull. Math. Sci. 12, No. 2, Article ID 2050022, 12 p. (2022). MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{W. F. C. Barboza} et al., Bull. Math. Sci. 12, No. 2, Article ID 2050022, 12 p. (2022; Zbl 07569085) Full Text: DOI
Gervasio Colares, A.; de Lima, Eudes L.; de Lima, Henrique F. Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps. (English) Zbl 1491.53071 Ill. J. Math. 65, No. 4, 769-792 (2021). Reviewer: James Hebda (St. Louis) MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{A. Gervasio Colares} et al., Ill. J. Math. 65, No. 4, 769--792 (2021; Zbl 1491.53071) Full Text: DOI Link
Colares, A. Gervásio; de Lima, Eudes L.; de Lima, Henrique F. Generalized linear Weingarten spacelike hypersurfaces in GRW spacetimes: height estimates and half-space theorems. (English) Zbl 1484.53097 Mediterr. J. Math. 18, No. 6, Paper No. 264, 21 p. (2021). Reviewer: María Ferreiro-Subrido (Santiago de Compostela) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{A. G. Colares} et al., Mediterr. J. Math. 18, No. 6, Paper No. 264, 21 p. (2021; Zbl 1484.53097) Full Text: DOI
Araújo, Jogli G.; de Lima, Henrique F.; Gomes, Wallace F. Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes. (English) Zbl 1512.53061 Rev. Mat. Complut. 34, No. 3, 653-673 (2021). MSC: 53C42 53C50 53Z05 PDFBibTeX XMLCite \textit{J. G. Araújo} et al., Rev. Mat. Complut. 34, No. 3, 653--673 (2021; Zbl 1512.53061) Full Text: DOI
de Lima, Eudes L.; de Lima, Henrique F. Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space. (English) Zbl 1475.53059 São Paulo J. Math. Sci. 15, No. 1, 322-334 (2021). Reviewer: María Ferreiro-Subrido (Santiago de Compostela) MSC: 53C40 53C42 53C50 PDFBibTeX XMLCite \textit{E. L. de Lima} and \textit{H. F. de Lima}, São Paulo J. Math. Sci. 15, No. 1, 322--334 (2021; Zbl 1475.53059) Full Text: DOI
Fernandes de Lima, Henrique Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space. (English) Zbl 1471.53055 Colloq. Math. 165, No. 1, 117-130 (2021). Reviewer: Atsushi Fujioka (Osaka) MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{H. Fernandes de Lima}, Colloq. Math. 165, No. 1, 117--130 (2021; Zbl 1471.53055) Full Text: DOI
de Lima, Henrique F.; dos Santos, Fábio R.; Rocha, Lucas S. A sharp integral inequality for closed spacelike submanifolds immersed in the de Sitter space. (English) Zbl 1468.53056 Arch. Math. 116, No. 6, 683-691 (2021). MSC: 53C42 53C20 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Arch. Math. 116, No. 6, 683--691 (2021; Zbl 1468.53056) Full Text: DOI
Velásquez, Marco A. L.; de Lima, Henrique F. Complete spacelike hypersurfaces immersed in pp-wave spacetimes. (English) Zbl 1443.53036 Gen. Relativ. Gravitation 52, No. 4, Paper No. 41, 18 p. (2020). MSC: 53C42 53C50 35P15 PDFBibTeX XMLCite \textit{M. A. L. Velásquez} and \textit{H. F. de Lima}, Gen. Relativ. Gravitation 52, No. 4, Paper No. 41, 18 p. (2020; Zbl 1443.53036) Full Text: DOI
Aquino, Cícero P.; Baltazar, Halyson I.; de Lima, Henrique F. New Calabi-Bernstein type results in Lorentzian product spaces with density. (English) Zbl 1440.53069 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111855, 9 p. (2020). MSC: 53C42 53A07 35P15 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111855, 9 p. (2020; Zbl 1440.53069) Full Text: DOI
Cunha, Antonio W.; de Lima, Henrique F.; Lima, Eraldo A.; Santos, Márcio S. Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes. (English) Zbl 1508.83025 J. Math. Anal. Appl. 484, No. 1, Article ID 123734, 13 p. (2020). MSC: 83F05 83D05 53B25 53C21 30C80 PDFBibTeX XMLCite \textit{A. W. Cunha} et al., J. Math. Anal. Appl. 484, No. 1, Article ID 123734, 13 p. (2020; Zbl 1508.83025) Full Text: DOI
Gidel da Silva Araújo, Jogli; Fernandes de Lima, Henrique; Reis dos Santos, Fábio; Lázaro Velásquez, Marco Antonio Complete linear Weingarten spacelike submanifolds with higher codimension in the De Sitter space. (English) Zbl 1431.53063 Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950050, 20 p. (2019). Reviewer: Hang Chen (Xi’an) MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{J. Gidel da Silva Araújo} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950050, 20 p. (2019; Zbl 1431.53063) Full Text: DOI
Aquino, Cícero P.; Batista, Márcio; de Lima, Henrique F. On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form. (English) Zbl 1414.53049 J. Geom. Phys. 137, 228-236 (2019). MSC: 53C42 53B30 53C50 53Z05 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., J. Geom. Phys. 137, 228--236 (2019; Zbl 1414.53049) Full Text: DOI
Velásquez, Marco A. L.; de Lima, Henrique F.; da Silva, Jonatan F.; Oliveira, Arlandson M. S. Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume. (English) Zbl 1414.53048 Manuscr. Math. 159, No. 1-2, 229-245 (2019). MSC: 53C40 53C42 53C50 PDFBibTeX XMLCite \textit{M. A. L. Velásquez} et al., Manuscr. Math. 159, No. 1--2, 229--245 (2019; Zbl 1414.53048) Full Text: DOI
Albujer, Alma L.; de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime. (English) Zbl 1394.53060 Mediterr. J. Math. 15, No. 3, Paper No. 84, 17 p. (2018). MSC: 53C40 53C42 35P15 53C50 PDFBibTeX XMLCite \textit{A. L. Albujer} et al., Mediterr. J. Math. 15, No. 3, Paper No. 84, 17 p. (2018; Zbl 1394.53060) Full Text: DOI arXiv
de Lima, Henrique F.; dos Santos, Fábio R.; Araujo, Jogli G. Solutions to the maximal spacelike hypersurface equation in generalized Robertson-Walker spacetimes. (English) Zbl 1386.53077 Electron. J. Differ. Equ. 2018, Paper No. 80, 14 p. (2018). MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Electron. J. Differ. Equ. 2018, Paper No. 80, 14 p. (2018; Zbl 1386.53077) Full Text: Link
Alías, Luis J.; de Lima, Henrique F.; dos Santos, Fábio R. Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space. (English) Zbl 1387.53081 Mediterr. J. Math. 15, No. 1, Paper No. 12, 22 p. (2018). MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{L. J. Alías} et al., Mediterr. J. Math. 15, No. 1, Paper No. 12, 22 p. (2018; Zbl 1387.53081) Full Text: DOI
Colares, A. Gervasio; de Lima, Eudes L.; de Lima, Henrique F. Characterizations of complete CMC spacelike hypersurfaces satisfying an Okumura type inequality. (English) Zbl 1431.53061 Differ. Geom. Appl. 56, 295-307 (2018). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{A. G. Colares} et al., Differ. Geom. Appl. 56, 295--307 (2018; Zbl 1431.53061) Full Text: DOI
Alías, Luis; de Lima, Henrique F.; dos Santos, Fábio R. New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. (English) Zbl 1377.53077 Pac. J. Math. 292, No. 1, 1-19 (2018). MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{L. Alías} et al., Pac. J. Math. 292, No. 1, 1--19 (2018; Zbl 1377.53077) Full Text: DOI
Aquino, C.; Baltazar, H.; de Lima, H. F. A new Calabi-Bernstein type result in spatially closed generalized Robertson-Walker spacetimes. (English) Zbl 1381.53098 Milan J. Math. 85, No. 2, 235-245 (2017). MSC: 53C42 53B30 53C50 53Z05 PDFBibTeX XMLCite \textit{C. Aquino} et al., Milan J. Math. 85, No. 2, 235--245 (2017; Zbl 1381.53098) Full Text: DOI
de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco A. L. On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space. (English) Zbl 1381.53107 São Paulo J. Math. Sci. 11, No. 2, 456-470 (2017). MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., São Paulo J. Math. Sci. 11, No. 2, 456--470 (2017; Zbl 1381.53107) Full Text: DOI
de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. Characterizations of complete spacelike submanifolds in the \((n+p)\)-dimensional anti-de Sitter space of index \(q\). (English) Zbl 1377.53082 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 4, 921-930 (2017). MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 4, 921--930 (2017; Zbl 1377.53082) Full Text: DOI
Oliveira, Arlandson M. S.; de Lima, Henrique F. On the existence of \(f\)-maximal spacelike hypersurfaces in certain weighted manifolds. (English) Zbl 1375.53078 Bull. Aust. Math. Soc. 96, No. 2, 317-325 (2017). MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{A. M. S. Oliveira} and \textit{H. F. de Lima}, Bull. Aust. Math. Soc. 96, No. 2, 317--325 (2017; Zbl 1375.53078) Full Text: DOI
Aquino, Cícero P.; Araújo, Jogli G.; Batista, Márcio; de Lima, Henrique F. Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures. (English) Zbl 1372.53058 Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 45-61 (2017). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 45--61 (2017; Zbl 1372.53058) Full Text: DOI
Albujer, Alma L.; de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes. (English) Zbl 1355.53051 Differ. Geom. Appl. 50, 140-154 (2017). MSC: 53C42 53A07 35P15 53C50 PDFBibTeX XMLCite \textit{A. L. Albujer} et al., Differ. Geom. Appl. 50, 140--154 (2017; Zbl 1355.53051) Full Text: DOI arXiv
De Lima, H. F.; Dos Santos, F. R.; Velásquez, M. A. L. Complete spacelike submanifolds with parallel mean curvature vector in a semi-Euclidean space. (English) Zbl 1399.53093 Acta Math. Hung. 150, No. 1, 217-227 (2016). MSC: 53C42 53C20 53C50 PDFBibTeX XMLCite \textit{H. F. De Lima} et al., Acta Math. Hung. 150, No. 1, 217--227 (2016; Zbl 1399.53093) Full Text: DOI
de Lima, Henrique F.; dos Santos, Fábio R.; Gomes, José N.; Velásquez, Marco Antonio L. On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space. (English) Zbl 1365.53053 Collect. Math. 67, No. 3, 379-397 (2016). Reviewer: Eduardo Hulett (Cordoba) MSC: 53C40 53C42 53C50 53C20 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Collect. Math. 67, No. 3, 379--397 (2016; Zbl 1365.53053) Full Text: DOI
de Lima, Henrique F.; Oliveira, Arlandson M. S.; Santos, Márcio S. Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature. (English) Zbl 1356.53064 Beitr. Algebra Geom. 57, No. 3, 623-635 (2016). Reviewer: Viviana del Barco (Rosario) MSC: 53C42 53A07 53C50 35P15 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Beitr. Algebra Geom. 57, No. 3, 623--635 (2016; Zbl 1356.53064) Full Text: DOI
Aquino, Cícero P.; Araújo, Jogli G.; de Lima, Henrique F. Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures. (English) Zbl 1347.53047 Beitr. Algebra Geom. 57, No. 2, 391-405 (2016). Reviewer: Ye-Lin Ou (Commerce) MSC: 53C42 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Beitr. Algebra Geom. 57, No. 2, 391--405 (2016; Zbl 1347.53047) Full Text: DOI
de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. New characterizations of hyperbolic cylinders in semi-Riemannian space forms. (English) Zbl 1329.53036 J. Math. Anal. Appl. 434, No. 1, 765-779 (2016). MSC: 53B25 53B30 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., J. Math. Anal. Appl. 434, No. 1, 765--779 (2016; Zbl 1329.53036) Full Text: DOI
Cavalcante, M. P.; De Lima, H. F.; Santos, M. S. New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes. (English) Zbl 1374.53086 Acta Math. Hung. 145, No. 2, 440-454 (2015). Reviewer: Luc Vrancken (Valenciennes) MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{M. P. Cavalcante} et al., Acta Math. Hung. 145, No. 2, 440--454 (2015; Zbl 1374.53086) Full Text: DOI
Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. Spacelike hypersurfaces with constant \(r\)th mean curvature in steady state type spacetimes. (English) Zbl 1319.53060 J. Geom. 106, No. 1, 85-96 (2015). MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., J. Geom. 106, No. 1, 85--96 (2015; Zbl 1319.53060) Full Text: DOI
Alías, Luis J.; Colares, A. Gervasio; de Lima, Henrique F. Uniqueness of entire graphs in warped products. (English) Zbl 1318.53058 J. Math. Anal. Appl. 430, No. 1, 60-75 (2015). MSC: 53C42 PDFBibTeX XMLCite \textit{L. J. Alías} et al., J. Math. Anal. Appl. 430, No. 1, 60--75 (2015; Zbl 1318.53058) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. Characterizations of linear Weingarten spacelike hypersurfaces in Lorentz space forms. (English) Zbl 1314.53104 Rocky Mt. J. Math. 45, No. 1, 13-27 (2015). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Rocky Mt. J. Math. 45, No. 1, 13--27 (2015; Zbl 1314.53104) Full Text: DOI Euclid
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space. (English) Zbl 1308.53090 Geom. Dedicata 174, 13-23 (2015). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Geom. Dedicata 174, 13--23 (2015; Zbl 1308.53090) Full Text: DOI
Gomes, José N.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms. (English) Zbl 1311.53050 J. Math. Anal. Appl. 418, No. 1, 248-263 (2014). MSC: 53C40 53C30 53C50 PDFBibTeX XMLCite \textit{J. N. Gomes} et al., J. Math. Anal. Appl. 418, No. 1, 248--263 (2014; Zbl 1311.53050) Full Text: DOI
de Lima, Henrique F.; Velásquez, Marco Antonio L. On the totally geodesic spacelike hypersurfaces in conformally stationary spacetimes. (English) Zbl 1305.53059 Osaka J. Math. 51, No. 4, 1027-1052 (2014). MSC: 53C40 53C50 53C24 53C25 PDFBibTeX XMLCite \textit{H. F. de Lima} and \textit{M. A. L. Velásquez}, Osaka J. Math. 51, No. 4, 1027--1052 (2014; Zbl 1305.53059) Full Text: Euclid
Aquino, Cícero P.; De Lima, Henrique F. On the umbilicity of complete constant mean curvature spacelike hypersurfaces. (English) Zbl 1307.53045 Math. Ann. 360, No. 3-4, 555-569 (2014). Reviewer: James Hebda (St. Louis) MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. De Lima}, Math. Ann. 360, No. 3--4, 555--569 (2014; Zbl 1307.53045) Full Text: DOI
Aquino, C. P.; De Lima, H. F. On the unicity of complete hypersurfaces immersed in a semi-Riemannian warped product. (English) Zbl 1303.53076 J. Geom. Anal. 24, No. 2, 1126-1143 (2014). MSC: 53C42 53B30 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. De Lima}, J. Geom. Anal. 24, No. 2, 1126--1143 (2014; Zbl 1303.53076) Full Text: DOI
De Lima, Henrique Fernandes; Velásquez, Marco Antonio Lázaro Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime. (English) Zbl 1316.53065 Math. Nachr. 287, No. 11-12, 1223-1240 (2014). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C42 53C30 53C50 53C80 PDFBibTeX XMLCite \textit{H. F. De Lima} and \textit{M. A. L. Velásquez}, Math. Nachr. 287, No. 11--12, 1223--1240 (2014; Zbl 1316.53065) Full Text: DOI
de Lima, Henrique F.; Lima, Eraldo A. jun. Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space. (English) Zbl 1306.53056 Beitr. Algebra Geom. 55, No. 1, 59-75 (2014). Reviewer: Ivko Dimitric (Lemont Furnace) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} and \textit{E. A. Lima jun.}, Beitr. Algebra Geom. 55, No. 1, 59--75 (2014; Zbl 1306.53056) Full Text: DOI
De Lima, Henrique F.; De Lima, Joseílson R. Characterizations of linear Weingarten spacelike hypersurfaces in Einstein spacetimes. (English) Zbl 1275.53020 Glasg. Math. J. 55, No. 3, 567-579 (2013). Reviewer: José L. Flores (Málaga) MSC: 53B25 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. De Lima} and \textit{J. R. De Lima}, Glasg. Math. J. 55, No. 3, 567--579 (2013; Zbl 1275.53020) Full Text: DOI
Alías, Luis J.; Colares, Antonio Gervásio; de Lima, Henrique F. On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. (English) Zbl 1294.53054 Bull. Braz. Math. Soc. (N.S.) 44, No. 2, 195-217 (2013). Reviewer: Luc Vrancken (Valenciennes) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{L. J. Alías} et al., Bull. Braz. Math. Soc. (N.S.) 44, No. 2, 195--217 (2013; Zbl 1294.53054) Full Text: DOI
de Lima, Henrique F.; Parente, Ulisses L. On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. (English) Zbl 1277.53060 Ann. Mat. Pura Appl. (4) 192, No. 4, 649-663 (2013). Reviewer: Huafei Sun (Beijing) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} and \textit{U. L. Parente}, Ann. Mat. Pura Appl. (4) 192, No. 4, 649--663 (2013; Zbl 1277.53060) Full Text: DOI
de Lima, Henrique F.; Velásquez, Marco A. L. On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space. (English) Zbl 1278.53068 Bull. Braz. Math. Soc. (N.S.) 44, No. 1, 49-65 (2013). Reviewer: Harold Parks (Corvallis) MSC: 53C42 53A10 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} and \textit{M. A. L. Velásquez}, Bull. Braz. Math. Soc. (N.S.) 44, No. 1, 49--65 (2013; Zbl 1278.53068) Full Text: DOI
De Lima, Henrique F.; De Lima, Joseílson R. Complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space. (English) Zbl 1270.53050 Result. Math. 63, No. 3-4, 865-876 (2013). MSC: 53B25 53B30 PDFBibTeX XMLCite \textit{H. F. De Lima} and \textit{J. R. De Lima}, Result. Math. 63, No. 3--4, 865--876 (2013; Zbl 1270.53050) Full Text: DOI
de Lima, Henrique Fernandes On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. (English) Zbl 1271.53055 J. Geom. 103, No. 2, 219-229 (2012). Reviewer: Huafei Sun (Beijing) MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima}, J. Geom. 103, No. 2, 219--229 (2012; Zbl 1271.53055) Full Text: DOI
Camargo, Fernanda; Caminha, Antonio; De Lima, Henrique; Parente, Ulisses Generalized maximum principles and the rigidity of complete spacelike hypersurfaces. (English) Zbl 1257.53083 Math. Proc. Camb. Philos. Soc. 153, No. 3, 541-556 (2012). MSC: 53C40 53C50 35B50 PDFBibTeX XMLCite \textit{F. Camargo} et al., Math. Proc. Camb. Philos. Soc. 153, No. 3, 541--556 (2012; Zbl 1257.53083) Full Text: DOI
Camargo, F.; Caminha, A.; Lima, H. De; Velásquez, Marco On the geometry of conformally stationary Lorentz spaces. (English) Zbl 1299.53125 Acta Math. Hung. 134, No. 3, 385-403 (2012). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{F. Camargo} et al., Acta Math. Hung. 134, No. 3, 385--403 (2012; Zbl 1299.53125) Full Text: DOI arXiv
De Lima, Henrique F.; De Lima, Joseílson R. Complete hypersurfaces immersed in a semi-Riemannian warped product. (English) Zbl 1238.53035 Differ. Geom. Appl. 30, No. 1, 136-143 (2012). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C42 53B20 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{H. F. De Lima} and \textit{J. R. De Lima}, Differ. Geom. Appl. 30, No. 1, 136--143 (2012; Zbl 1238.53035) Full Text: DOI
Aquino, C. P.; De Lima, H. F. Uniqueness of complete hypersurfaces with bounded higher order mean curvatures in semi-Riemannian warped products. (English) Zbl 1242.53065 Glasg. Math. J. 54, No. 1, 201-212 (2012). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. De Lima}, Glasg. Math. J. 54, No. 1, 201--212 (2012; Zbl 1242.53065) Full Text: DOI
Albujer, Alma L.; Camargo, Fernanda E. C.; de Lima, Henrique F. Complete spacelike hypersurfaces in a Robertson-Walker spacetime. (English) Zbl 1223.83049 Math. Proc. Camb. Philos. Soc. 151, No. 2, 271-282 (2011). MSC: 83F05 83C05 83C75 83E05 53Z05 PDFBibTeX XMLCite \textit{A. L. Albujer} et al., Math. Proc. Camb. Philos. Soc. 151, No. 2, 271--282 (2011; Zbl 1223.83049) Full Text: DOI
Camargo, F.; Caminha, A.; De Lima, H. Bernstein-type theorems in semi-Riemannian warped products. (English) Zbl 1223.53045 Proc. Am. Math. Soc. 139, No. 5, 1841-1850 (2011). Reviewer: Oscar J. Garay (Bilbao) MSC: 53C42 53C50 53Z05 PDFBibTeX XMLCite \textit{F. Camargo} et al., Proc. Am. Math. Soc. 139, No. 5, 1841--1850 (2011; Zbl 1223.53045) Full Text: DOI
Camargo, F.; Caminha, A.; da Silva, M.; de Lima, H. On the \(r\)-stability of space-like hypersurfaces. (English) Zbl 1197.53074 J. Geom. Phys. 60, No. 10, 1402-1410 (2010). Reviewer: Constantin Călin (Iaşi) MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{F. Camargo} et al., J. Geom. Phys. 60, No. 10, 1402--1410 (2010; Zbl 1197.53074) Full Text: DOI arXiv
Camargo, F.; De Lima, H. New characterizations of totally geodesic hypersurfaces in anti-de Sitter space \(\mathbb H^{n+1}_1\). (English) Zbl 1194.53050 J. Geom. Phys. 60, No. 10, 1326-1332 (2010). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{F. Camargo} and \textit{H. De Lima}, J. Geom. Phys. 60, No. 10, 1326--1332 (2010; Zbl 1194.53050) Full Text: DOI
Albujer, A. L.; Camargo, F. E. C.; de Lima, H. F. Complete spacelike hypersurfaces with constant mean curvature in \(-\mathbb R\times \mathbb H^n\). (English) Zbl 1193.53124 J. Math. Anal. Appl. 368, No. 2, 650-657 (2010). Reviewer: Weihuan Chen (Beijing) MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{A. L. Albujer} et al., J. Math. Anal. Appl. 368, No. 2, 650--657 (2010; Zbl 1193.53124) Full Text: DOI
de Lima, Henrique F.; de Lima, Joseilson R. Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space. (English) Zbl 1178.83006 Int. J. Math. Math. Sci. 2009, Article ID 673508, 12 p. (2009). MSC: 83C05 53Z05 PDFBibTeX XMLCite \textit{H. F. de Lima} and \textit{J. R. de Lima}, Int. J. Math. Math. Sci. 2009, Article ID 673508, 12 p. (2009; Zbl 1178.83006) Full Text: DOI EuDML
Caminha, A.; de Lima, Henrique F. Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds. (English) Zbl 1162.83304 Gen. Relativ. Gravitation 41, No. 1, 173-189 (2009). MSC: 83C05 83C15 53Z05 PDFBibTeX XMLCite \textit{A. Caminha} and \textit{H. F. de Lima}, Gen. Relativ. Gravitation 41, No. 1, 173--189 (2009; Zbl 1162.83304) Full Text: DOI
Colares, A. Gervasio; De Lima, Henrique F. Space-like hypersurfaces with positive constant \(r\) -mean curvature in Lorentzian product spaces. (English) Zbl 1152.83323 Gen. Relativ. Gravitation 40, No. 10, 2131-2147 (2008). MSC: 83C05 83E05 PDFBibTeX XMLCite \textit{A. G. Colares} and \textit{H. F. De Lima}, Gen. Relativ. Gravitation 40, No. 10, 2131--2147 (2008; Zbl 1152.83323) Full Text: DOI
de Lima, Henrique Fernandes Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space. (English) Zbl 1111.53049 J. Geom. Phys. 57, No. 3, 967-975 (2007). Reviewer: Kazim Ilarslan (Kirikkale) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima}, J. Geom. Phys. 57, No. 3, 967--975 (2007; Zbl 1111.53049) Full Text: DOI