Kundu, Deep; Rudyak, Yuli B. Maps of degree 1, Lusternik-Schnirelmann category, and critical points. (English) Zbl 07789937 Topology Appl. 343, Article ID 108797, 7 p. (2024). MSC: 57R70 55M25 55M30 57K30 57M50 PDFBibTeX XMLCite \textit{D. Kundu} and \textit{Y. B. Rudyak}, Topology Appl. 343, Article ID 108797, 7 p. (2024; Zbl 07789937) Full Text: DOI arXiv
Sadykov, Rustam; Trunov, Stanislav The minimal number of critical points of a smooth function on a closed manifold and the ball category. (English) Zbl 07789113 Trans. Am. Math. Soc. 377, No. 2, 1219-1245 (2024). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 57R70 PDFBibTeX XMLCite \textit{R. Sadykov} and \textit{S. Trunov}, Trans. Am. Math. Soc. 377, No. 2, 1219--1245 (2024; Zbl 07789113) Full Text: DOI arXiv
Hladysh, Bohdana; Loseva, Maria; Prishlyak, Alexandr Topological structure of functions with isolated critical points on a 3-manifold. (English) Zbl 07771091 Proc. Int. Geom. Cent. 16, No. 3, 231-243 (2023). MSC: 57R45 57R70 PDFBibTeX XMLCite \textit{B. Hladysh} et al., Proc. Int. Geom. Cent. 16, No. 3, 231--243 (2023; Zbl 07771091) Full Text: DOI arXiv
Qian, Chao; Tang, Zizhou; Yan, Wenjiao Topology and curvature of isoparametric families in spheres. (English) Zbl 1525.53032 Commun. Math. Stat. 11, No. 2, 439-475 (2023). Reviewer: Jianquan Ge (Beijing) MSC: 53C12 53A07 53C40 53C42 55M30 57R30 55R25 58E05 15A66 PDFBibTeX XMLCite \textit{C. Qian} et al., Commun. Math. Stat. 11, No. 2, 439--475 (2023; Zbl 1525.53032) Full Text: DOI arXiv
Karabanov, Alexander A.; Morozov, Albert D. On resonances in Hamiltonian systems with three degrees of freedom. (English) Zbl 1472.70040 Regul. Chaotic Dyn. 24, No. 6, 628-648 (2019). MSC: 70H05 70K30 34C15 PDFBibTeX XMLCite \textit{A. A. Karabanov} and \textit{A. D. Morozov}, Regul. Chaotic Dyn. 24, No. 6, 628--648 (2019; Zbl 1472.70040) Full Text: DOI
Michalak, Łukasz Patryk Realization of a graph as the Reeb graph of a Morse function on a manifold. (English) Zbl 1425.58022 Topol. Methods Nonlinear Anal. 52, No. 2, 749-762 (2018). Reviewer: Dorin Andrica (Riyadh) MSC: 58K05 57M15 58K65 58E05 57R70 PDFBibTeX XMLCite \textit{Ł. P. Michalak}, Topol. Methods Nonlinear Anal. 52, No. 2, 749--762 (2018; Zbl 1425.58022) Full Text: DOI arXiv Euclid
Funar, Louis; Pintea, Cornel Manifolds which admit maps with finitely many critical points into spheres of small dimensions. (English) Zbl 1406.57027 Mich. Math. J. 67, No. 3, 585-615 (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 57R70 58K05 57R45 PDFBibTeX XMLCite \textit{L. Funar} and \textit{C. Pintea}, Mich. Math. J. 67, No. 3, 585--615 (2018; Zbl 1406.57027) Full Text: DOI arXiv Euclid
Alessandroni, Roberta; Kuwert, Ernst Local solutions to a free boundary problem for the Willmore functional. (English) Zbl 1344.49066 Calc. Var. Partial Differ. Equ. 55, No. 2, Paper No. 24, 29 p. (2016). MSC: 49Q10 35R35 53C42 PDFBibTeX XMLCite \textit{R. Alessandroni} and \textit{E. Kuwert}, Calc. Var. Partial Differ. Equ. 55, No. 2, Paper No. 24, 29 p. (2016; Zbl 1344.49066) Full Text: DOI arXiv
Gromadzki, G.; Jezierski, J.; Marzantowicz, W. Critical points of invariant functions on closed orientable surfaces. (English) Zbl 1321.55003 Bol. Soc. Mat. Mex., III. Ser. 21, No. 1, 71-88 (2015). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 55M30 55M35 30F10 PDFBibTeX XMLCite \textit{G. Gromadzki} et al., Bol. Soc. Mat. Mex., III. Ser. 21, No. 1, 71--88 (2015; Zbl 1321.55003) Full Text: DOI
Andrica, Dorin; Mangra, Dana; Pintea, Cornel Aspects of global analysis of circle-valued mappings. (English) Zbl 1323.58009 Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 79-109 (2014). MSC: 58E05 57R70 57R35 57M10 55M30 PDFBibTeX XMLCite \textit{D. Andrica} et al., Springer Optim. Appl. 94, 79--109 (2014; Zbl 1323.58009) Full Text: DOI
Gómez-Larrañaga, J. C.; González-Acuña, F.; Heil, Wolfgang Old and new categorical invariants of manifolds. (English) Zbl 1311.57029 Bol. Soc. Mat. Mex., III. Ser. 20, No. 2, 177-198 (2014). Reviewer: Jose Calcines (La Laguna) MSC: 57N10 57N13 57N15 57M30 PDFBibTeX XMLCite \textit{J. C. Gómez-Larrañaga} et al., Bol. Soc. Mat. Mex., III. Ser. 20, No. 2, 177--198 (2014; Zbl 1311.57029) Full Text: DOI
Khimshiashvili, Giorgi; Panina, Gaiane; Siersma, Dirk; Zhukova, Alena Critical configurations of planar robot arms. (English) Zbl 1319.51017 Cent. Eur. J. Math. 11, No. 3, 519-529 (2013). MSC: 51M20 70B15 58E05 PDFBibTeX XMLCite \textit{G. Khimshiashvili} et al., Cent. Eur. J. Math. 11, No. 3, 519--529 (2013; Zbl 1319.51017) Full Text: DOI arXiv
Grafarend, Erik Space gradiometry: tensor-valued ellipsoidal harmonics, the datum problem and application of the Lusternik-Schnirelmann category to construct a minimum atlas. (English) Zbl 1301.86016 GEM. Int. J. Geomath. 1, No. 2, 145-166 (2011). MSC: 86A30 35Q86 00A69 34A26 PDFBibTeX XMLCite \textit{E. Grafarend}, GEM. Int. J. Geomath. 1, No. 2, 145--166 (2011; Zbl 1301.86016) Full Text: DOI
Grafarend, Erik W.; Kühnel, Wolfgang A minimal atlas for the rotation group SO(3). (English) Zbl 1226.22027 GEM. Int. J. Geomath. 2, No. 1, 113-122 (2011). MSC: 22E70 20H15 53Z05 57R55 86A30 PDFBibTeX XMLCite \textit{E. W. Grafarend} and \textit{W. Kühnel}, GEM. Int. J. Geomath. 2, No. 1, 113--122 (2011; Zbl 1226.22027) Full Text: DOI
Qiao, Hui; Long, Yiming Functions on tori with minimal number of critical points and rotation type solutions of spatially periodic Hamiltonian systems. (English) Zbl 1226.37041 Adv. Nonlinear Stud. 11, No. 1, 105-116 (2011). MSC: 37J45 34C25 58E05 PDFBibTeX XMLCite \textit{H. Qiao} and \textit{Y. Long}, Adv. Nonlinear Stud. 11, No. 1, 105--116 (2011; Zbl 1226.37041) Full Text: DOI
Pacard, F.; Xu, X. Constant mean curvature spheres in Riemannian manifolds. (English) Zbl 1165.53038 Manuscr. Math. 128, No. 3, 275-295 (2009). Reviewer: James Hebda (St. Louis) MSC: 53C42 53A10 53C20 PDFBibTeX XMLCite \textit{F. Pacard} and \textit{X. Xu}, Manuscr. Math. 128, No. 3, 275--295 (2009; Zbl 1165.53038) Full Text: DOI
Gómez-Larrañaga, J. C.; González-Acuña, F.; Heil, Wolfgang Fundamental groups of manifolds with \(S^1\)-category 2. (English) Zbl 1216.57010 Math. Z. 259, No. 2, 419-432 (2008). MSC: 57N10 57N13 57N15 55M30 57M05 PDFBibTeX XMLCite \textit{J. C. Gómez-Larrañaga} et al., Math. Z. 259, No. 2, 419--432 (2008; Zbl 1216.57010) Full Text: DOI
Kadubovs’kyi, O. A. Transitive flows on orientable surfaces. (English. Ukrainian original) Zbl 1262.37015 Nonlinear Oscil., N.Y. 9, No. 2, 173-180 (2006); translation from Nelinijni Kolyvannya 9, No. 2, 178-186 (2006). MSC: 37C10 37E35 PDFBibTeX XMLCite \textit{O. A. Kadubovs'kyi}, Nonlinear Oscil., N.Y. 9, No. 2, 173--180 (2006; Zbl 1262.37015); translation from Nelinijni Kolyvannya 9, No. 2, 178--186 (2006) Full Text: DOI
Pintea, Cornel A measure of the deviation from there being fibrations between a pair of compact manifolds. (English) Zbl 1122.55009 Differ. Geom. Appl. 24, No. 6, 579-587 (2006). Reviewer: John F. Oprea (Cleveland) MSC: 55Q05 55N10 55M30 57R70 PDFBibTeX XMLCite \textit{C. Pintea}, Differ. Geom. Appl. 24, No. 6, 579--587 (2006; Zbl 1122.55009) Full Text: DOI
Schütz, D. Zeta functions for gradients of closed 1-forms. (English) Zbl 1053.37010 Topology Appl. 144, No. 1-3, 147-160 (2004). MSC: 37C27 37C30 57R70 37B35 PDFBibTeX XMLCite \textit{D. Schütz}, Topology Appl. 144, No. 1--3, 147--160 (2004; Zbl 1053.37010) Full Text: DOI
Nowel, Aleksandra; Szafraniec, Zbigniew On trajectories of analytic gradient vector fields. (English) Zbl 1066.58022 J. Differ. Equations 184, No. 1, 215-223 (2002). Reviewer: Vassil Angelov (Sofia) MSC: 58K45 34C99 37C10 PDFBibTeX XMLCite \textit{A. Nowel} and \textit{Z. Szafraniec}, J. Differ. Equations 184, No. 1, 215--223 (2002; Zbl 1066.58022) Full Text: DOI Link
Prishlyak, A. O. Topological equivalence of smooth functions with isolated critical points on a closed surface. (English) Zbl 1042.57021 Topology Appl. 119, No. 3, 257-267 (2002). Reviewer: Carmen Romero-Fuster (Burjasot) MSC: 57R70 57R45 58K05 PDFBibTeX XMLCite \textit{A. O. Prishlyak}, Topology Appl. 119, No. 3, 257--267 (2002; Zbl 1042.57021) Full Text: DOI arXiv
Pintea, Cornel Differentiable mappings with an infinite number of critical points. (English) Zbl 0958.57032 Proc. Am. Math. Soc. 128, No. 11, 3435-3444 (2000). Reviewer: D.Andrica (Cluj-Napoca) MSC: 57R70 55Q05 57R42 57S25 PDFBibTeX XMLCite \textit{C. Pintea}, Proc. Am. Math. Soc. 128, No. 11, 3435--3444 (2000; Zbl 0958.57032) Full Text: DOI
Pintea, Cornel A measure of non-immersability of the Grassmann manifolds in some euclidean spaces. (English) Zbl 0891.57036 Proc. Edinb. Math. Soc., II. Ser. 41, No. 1, 197-206 (1998). Reviewer: C.Pintea (Cluj-Napoca) MSC: 57R70 PDFBibTeX XMLCite \textit{C. Pintea}, Proc. Edinb. Math. Soc., II. Ser. 41, No. 1, 197--206 (1998; Zbl 0891.57036) Full Text: DOI
Viterbo, Claude Some remarks on Massey products, tied cohomology classes, and the Lusternik-Shnirelman category. (English) Zbl 0873.55002 Duke Math. J. 86, No. 3, 547-564 (1997). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55M30 55S30 PDFBibTeX XMLCite \textit{C. Viterbo}, Duke Math. J. 86, No. 3, 547--564 (1997; Zbl 0873.55002) Full Text: DOI
Bondar’, O. P. Generalized (co)homology length of a manifold and functions with singular submanifolds. (English. Russian original) Zbl 0935.57028 Ukr. Math. J. 48, No. 6, 947-951 (1996); translation from Ukr. Mat. Zh. 48, No. 6, 843-846 (1996). MSC: 57N65 55M30 57R19 57R70 PDFBibTeX XMLCite \textit{O. P. Bondar'}, Ukr. Math. J. 48, No. 6, 947--951 (1996; Zbl 0935.57028); translation from Ukr. Mat. Zh. 48, No. 6, 843--846 (1996) Full Text: DOI
Bondar’, O. P. On the number of critical submanifolds of a function on a manifold. (English. Russian original) Zbl 0821.58009 Ukr. Math. J. 45, No. 12, 1915-1919 (1993); translation from Ukr. Mat. Zh. 45, No. 12, 1702-1705 (1993). Reviewer: Th.J.Bartsch (Heidelberg) MSC: 58E05 55M30 PDFBibTeX XMLCite \textit{O. P. Bondar'}, Ukr. Math. J. 45, No. 12, 1702--1705 (1993; Zbl 0821.58009); translation from Ukr. Mat. Zh. 45, No. 12, 1702--1705 (1993) Full Text: DOI
Cavicchioli, Alberto Covering numbers of manifolds and critical points of a Morse function. (English) Zbl 0711.57021 Isr. J. Math. 70, No. 3, 279-304 (1990). Reviewer: A.Riede MSC: 57R70 58E05 57N10 57N13 57M40 55M30 PDFBibTeX XMLCite \textit{A. Cavicchioli}, Isr. J. Math. 70, No. 3, 279--304 (1990; Zbl 0711.57021) Full Text: DOI
Ziller, Wolfgang Geometry of the Katok examples. (English) Zbl 0559.58027 Ergodic Theory Dyn. Syst. 3, 135-157 (1983). Reviewer: K.Grove MSC: 58J60 53C60 58E10 PDFBibTeX XMLCite \textit{W. Ziller}, Ergodic Theory Dyn. Syst. 3, 135--157 (1983; Zbl 0559.58027) Full Text: DOI
Singhof, Wilhelm Minimal coverings of manifolds with balls. (English) Zbl 0415.55001 Manuscr. Math. 29, 385-415 (1979). MSC: 55M30 57N15 57Q30 57Q65 PDFBibTeX XMLCite \textit{W. Singhof}, Manuscr. Math. 29, 385--415 (1979; Zbl 0415.55001) Full Text: DOI EuDML