Liu, Hongjun Weakly quasisymmetric mappings and uniform domains on generalized Grushin planes. (English) Zbl 1526.30026 J. Math. Anal. Appl. 530, No. 2, Article ID 127729, 21 p. (2024). MSC: 30C62 30L10 PDFBibTeX XMLCite \textit{H. Liu}, J. Math. Anal. Appl. 530, No. 2, Article ID 127729, 21 p. (2024; Zbl 1526.30026) Full Text: DOI
Bieske, Thomas Generalizations of the drift Laplace equation over the quaternions in a class of Grushin-type spaces. (English) Zbl 07772765 Constr. Math. Anal. 6, No. 3, 164-175 (2023). MSC: 53C17 35H20 35A09 35R03 17B70 PDFBibTeX XMLCite \textit{T. Bieske}, Constr. Math. Anal. 6, No. 3, 164--175 (2023; Zbl 07772765) Full Text: DOI arXiv
Rizzi, Luca; Stefani, Giorgio Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries. (English) Zbl 07729955 J. Funct. Anal. 285, No. 9, Article ID 110099, 31 p. (2023). Reviewer: Robert Neel (Bethlehem) MSC: 53C17 54E45 28A75 PDFBibTeX XMLCite \textit{L. Rizzi} and \textit{G. Stefani}, J. Funct. Anal. 285, No. 9, Article ID 110099, 31 p. (2023; Zbl 07729955) Full Text: DOI arXiv
Beschastnyi, Ivan; Boscain, Ugo; Pozzoli, Eugenio Quantum confinement for the curvature Laplacian \(- \Delta + cK\) on 2D-almost-Riemannian manifolds. (English) Zbl 1510.58008 Potential Anal. 58, No. 3, 441-464 (2023). MSC: 58J05 58J90 35J10 PDFBibTeX XMLCite \textit{I. Beschastnyi} et al., Potential Anal. 58, No. 3, 441--464 (2023; Zbl 1510.58008) Full Text: DOI arXiv
Borza, Samuël Distortion coefficients of the \(\alpha\)-Grushin plane. (English) Zbl 1492.53045 J. Geom. Anal. 32, No. 3, Paper No. 78, 28 p. (2022). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 51F99 53B99 28A75 28C10 PDFBibTeX XMLCite \textit{S. Borza}, J. Geom. Anal. 32, No. 3, Paper No. 78, 28 p. (2022; Zbl 1492.53045) Full Text: DOI arXiv
Bieske, Thomas; Blackwell, Keller Generalizations of the drift Laplace equation in the Heisenberg group and Grushin-type spaces. (English) Zbl 1500.53039 Electron. J. Differ. Equ. 2021, Paper No. 99, 13 p. (2021). MSC: 53C17 35H20 35A08 22E25 17B70 PDFBibTeX XMLCite \textit{T. Bieske} and \textit{K. Blackwell}, Electron. J. Differ. Equ. 2021, Paper No. 99, 13 p. (2021; Zbl 1500.53039) Full Text: arXiv Link
Harris, Terence L. J.; Huynh, Chi N. Y.; Román-García, Fernando Dimension distortion by right coset projections in the Heisenberg group. (English) Zbl 1485.28007 J. Fractal Geom. 8, No. 4, 305-346 (2021). MSC: 28A78 53C17 PDFBibTeX XMLCite \textit{T. L. J. Harris} et al., J. Fractal Geom. 8, No. 4, 305--346 (2021; Zbl 1485.28007) Full Text: DOI arXiv
Boscain, Ugo; Neel, Robert W. Extensions of Brownian motion to a family of Grushin-type singularities. (English) Zbl 1439.58020 Electron. Commun. Probab. 25, Paper No. 29, 12 p. (2020). MSC: 58J65 53C17 PDFBibTeX XMLCite \textit{U. Boscain} and \textit{R. W. Neel}, Electron. Commun. Probab. 25, Paper No. 29, 12 p. (2020; Zbl 1439.58020) Full Text: DOI arXiv Euclid
Tan, Jinggang; Yu, Xiaohui Liouville type theorems for nonlinear elliptic equations on extended Grushin manifolds. (English) Zbl 1436.35166 J. Differ. Equations 269, No. 1, 523-541 (2020). MSC: 35J60 35J57 35J15 PDFBibTeX XMLCite \textit{J. Tan} and \textit{X. Yu}, J. Differ. Equations 269, No. 1, 523--541 (2020; Zbl 1436.35166) Full Text: DOI
Rizzi, Luca A counterexample to gluing theorems for MCP metric measure spaces. (English) Zbl 1403.53037 Bull. Lond. Math. Soc. 50, No. 5, 781-790 (2018). MSC: 53C23 54E45 54E50 PDFBibTeX XMLCite \textit{L. Rizzi}, Bull. Lond. Math. Soc. 50, No. 5, 781--790 (2018; Zbl 1403.53037) Full Text: DOI arXiv
Fazly, Mostafa Stable solutions of symmetric systems involving hypoelliptic operators. (English) Zbl 1387.53042 J. Funct. Anal. 274, No. 12, 3470-3502 (2018). MSC: 53C17 35R03 35A23 53C21 35H10 PDFBibTeX XMLCite \textit{M. Fazly}, J. Funct. Anal. 274, No. 12, 3470--3502 (2018; Zbl 1387.53042) Full Text: DOI arXiv
Romney, Matthew; Vellis, Vyron Bi-Lipschitz embedding of the generalized Grushin plane into Euclidean spaces. (English) Zbl 1385.53019 Math. Res. Lett. 24, No. 4, 1177-1203 (2017). MSC: 53C17 30L05 30L10 PDFBibTeX XMLCite \textit{M. Romney} and \textit{V. Vellis}, Math. Res. Lett. 24, No. 4, 1177--1203 (2017; Zbl 1385.53019) Full Text: DOI arXiv
Gartland, Chris; Jung, Derek; Romney, Matthew Quasiconformal mappings on the Grushin plane. (English) Zbl 1381.30032 Math. Z. 287, No. 3-4, 915-928 (2017). Reviewer: Vyron Vellis (Storrs) MSC: 30L10 53C17 PDFBibTeX XMLCite \textit{C. Gartland} et al., Math. Z. 287, No. 3--4, 915--928 (2017; Zbl 1381.30032) Full Text: DOI arXiv
Franceschi, Valentina A minimal partition problem with trace constraint in the Grushin plane. (English) Zbl 1376.49061 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 104, 1-23 p. (2017). MSC: 49Q20 53C17 49N60 PDFBibTeX XMLCite \textit{V. Franceschi}, Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 104, 1--23 p. (2017; Zbl 1376.49061) Full Text: DOI arXiv
Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. (English) Zbl 1377.49006 J. Dyn. Control Syst. 23, No. 3, 547-575 (2017). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49J30 53C60 53C17 22E25 49J52 PDFBibTeX XMLCite \textit{D. Barilari} et al., J. Dyn. Control Syst. 23, No. 3, 547--575 (2017; Zbl 1377.49006) Full Text: DOI arXiv
Liu, Yu BV capacity on generalized Grushin plane. (English) Zbl 1364.53034 J. Geom. Anal. 27, No. 1, 409-441 (2017). MSC: 53C17 PDFBibTeX XMLCite \textit{Y. Liu}, J. Geom. Anal. 27, No. 1, 409--441 (2017; Zbl 1364.53034) Full Text: DOI
Romney, Matthew Conformal Grushin spaces. (English) Zbl 1432.30046 Conform. Geom. Dyn. 20, 97-115 (2016). MSC: 30L05 PDFBibTeX XMLCite \textit{M. Romney}, Conform. Geom. Dyn. 20, 97--115 (2016; Zbl 1432.30046) Full Text: DOI arXiv
Boscain, Ugo; Prandi, Dario Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. (English) Zbl 1331.53063 J. Differ. Equations 260, No. 4, 3234-3269 (2016). MSC: 53C21 53C17 35R01 35J70 PDFBibTeX XMLCite \textit{U. Boscain} and \textit{D. Prandi}, J. Differ. Equations 260, No. 4, 3234--3269 (2016; Zbl 1331.53063) Full Text: DOI arXiv
Ackermann, Colleen An approach to studying quasiconformal mappings on generalized Grushin planes. (English) Zbl 1329.30029 Ann. Acad. Sci. Fenn., Math. 40, No. 1, 305-320 (2015). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30L10 53C17 PDFBibTeX XMLCite \textit{C. Ackermann}, Ann. Acad. Sci. Fenn., Math. 40, No. 1, 305--320 (2015; Zbl 1329.30029) Full Text: DOI arXiv
Yang, Qiaohua; Su, Dan; Kong, Yinying On a Sobolev inequality with remainder terms in the Grushin plane. (English) Zbl 1312.35007 J. Math. Anal. Appl. 412, No. 1, 360-368 (2014). MSC: 35A23 35J70 PDFBibTeX XMLCite \textit{Q. Yang} et al., J. Math. Anal. Appl. 412, No. 1, 360--368 (2014; Zbl 1312.35007) Full Text: DOI
Bieske, Thomas; Childers, Kristen Generalizations of a Laplacian-type equation in the Heisenberg group and a class of Grushin-type spaces. (English) Zbl 1284.53034 Proc. Am. Math. Soc. 142, No. 3, 989-1003 (2014). MSC: 53C17 35H20 22E25 17B70 PDFBibTeX XMLCite \textit{T. Bieske} and \textit{K. Childers}, Proc. Am. Math. Soc. 142, No. 3, 989--1003 (2014; Zbl 1284.53034) Full Text: DOI arXiv Link
Gulisashvili, Archil; Laurence, Peter The Heston Riemannian distance function. (English) Zbl 1312.91097 J. Math. Pures Appl. (9) 101, No. 3, 303-329 (2014). Reviewer: Andreea Olteanu (Bucureşti) MSC: 91G80 53C25 53C17 91B70 91G20 PDFBibTeX XMLCite \textit{A. Gulisashvili} and \textit{P. Laurence}, J. Math. Pures Appl. (9) 101, No. 3, 303--329 (2014; Zbl 1312.91097) Full Text: DOI arXiv
Meyerson, William Lipschitz and bilipschitz maps on Carnot groups. (English) Zbl 1295.43009 Pac. J. Math. 263, No. 1, 143-170 (2013). Reviewer: Andrew Bucki (Edmond) MSC: 43A80 PDFBibTeX XMLCite \textit{W. Meyerson}, Pac. J. Math. 263, No. 1, 143--170 (2013; Zbl 1295.43009) Full Text: DOI arXiv
Barilari, Davide; Boscain, Ugo; Neel, Robert W. Small-time heat kernel asymptotics at the sub-Riemannian cut locus. (English) Zbl 1270.53066 J. Differ. Geom. 92, No. 3, 373-416 (2012). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53C17 35K08 58J35 PDFBibTeX XMLCite \textit{D. Barilari} et al., J. Differ. Geom. 92, No. 3, 373--416 (2012; Zbl 1270.53066) Full Text: DOI arXiv Euclid
Chang, Der-Chen; Li, Yutian Subriemannian geodesics in the Grushin plane. (English) Zbl 1261.53027 J. Geom. Anal. 22, No. 3, 800-826 (2012). Reviewer: Mauricio Godoy (Göttingen) MSC: 53C17 53C22 35H20 PDFBibTeX XMLCite \textit{D.-C. Chang} and \textit{Y. Li}, J. Geom. Anal. 22, No. 3, 800--826 (2012; Zbl 1261.53027) Full Text: DOI
Ghezzi, Roberta On almost-Riemannian surfaces. (Sur les surfaces presque riemanniennes.) (English. French summary) Zbl 1376.49062 Actes de Séminaire de Théorie Spectrale et Géométrie. Année 2010–2011. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Séminaire de Théorie Spectrale et Géométrie 29, 15-49 (2011). MSC: 49Q99 53C17 34K35 49J15 PDFBibTeX XMLCite \textit{R. Ghezzi}, Sémin. Théor. Spectr. Géom. 29, 15--49 (2011; Zbl 1376.49062) Full Text: DOI arXiv
Seo, Jeehyeon A characterization of bi-Lipschitz embeddable metric spaces in terms of local bi-Lipschitz embeddability. (English) Zbl 1273.30054 Math. Res. Lett. 18, No. 6, 1179-1202 (2011). Reviewer: Riikka Korte (Helsinki) MSC: 30L05 53C17 PDFBibTeX XMLCite \textit{J. Seo}, Math. Res. Lett. 18, No. 6, 1179--1202 (2011; Zbl 1273.30054) Full Text: DOI arXiv
Birindelli, Isabeau; Valdinoci, Enrico On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional. (English) Zbl 1209.35045 Discrete Contin. Dyn. Syst. 29, No. 3, 823-838 (2011). MSC: 35J62 35J15 53A35 35B35 35A30 PDFBibTeX XMLCite \textit{I. Birindelli} and \textit{E. Valdinoci}, Discrete Contin. Dyn. Syst. 29, No. 3, 823--838 (2011; Zbl 1209.35045) Full Text: DOI arXiv
Niu, Pengcheng; Li, Wenbai Comparison and maximum principles for convex functions on Grushin-type planes. (Chinese. English summary) Zbl 1199.35039 J. Northwest Univ., Nat. Sci. Ed. 38, No. 4, 517-519 (2008). MSC: 35B50 35H20 26B25 PDFBibTeX XMLCite \textit{P. Niu} and \textit{W. Li}, J. Northwest Univ., Nat. Sci. Ed. 38, No. 4, 517--519 (2008; Zbl 1199.35039)
Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. (English) Zbl 1198.49041 Discrete Contin. Dyn. Syst. 20, No. 4, 801-822 (2008). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 53C17 49J15 93B05 PDFBibTeX XMLCite \textit{A. Agrachev} et al., Discrete Contin. Dyn. Syst. 20, No. 4, 801--822 (2008; Zbl 1198.49041) Full Text: DOI arXiv
Arcozzi, Nicola; Baldi, Annalisa From Grushin to Heisenberg via an isoperimetric problem. (English) Zbl 1134.53016 J. Math. Anal. Appl. 340, No. 1, 165-174 (2008). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53C17 53C30 PDFBibTeX XMLCite \textit{N. Arcozzi} and \textit{A. Baldi}, J. Math. Anal. Appl. 340, No. 1, 165--174 (2008; Zbl 1134.53016) Full Text: DOI
Agrachev, Andrei A.; Boscain, Ugo; Sigalotti, Mario Two-dimensional almost-Riemannian manifolds. (English) Zbl 1132.49034 Lanconelli, Ermanno (ed.) et al., Subelliptic PDE’s and applications to geometry and finance. Papers of the meeting, Cortona, Italy, June 12–17, 2005. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica (ISBN 978-88-902965-0-5/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 6, 17-31 (2007). MSC: 49Q15 53C17 PDFBibTeX XMLCite \textit{A. A. Agrachev} et al., Lect. Notes Semin. Interdiscip. Mat. 6, 17--31 (2007; Zbl 1132.49034)
Ren, Jian; Niu, Pengcheng Characteristic sets of the Grushin operator. (Chinese. English summary) Zbl 1118.35304 Pure Appl. Math. 22, No. 4, 482-486, 555 (2006). MSC: 35A30 53C17 PDFBibTeX XMLCite \textit{J. Ren} and \textit{P. Niu}, Pure Appl. Math. 22, No. 4, 482--486, 555 (2006; Zbl 1118.35304)
Tyson, Jeremy T. Sharp weighted Young’s inequalities and Moser-Trudinger inequalities on Heisenberg type groups and Grushin spaces. (English) Zbl 1099.43006 Potential Anal. 24, No. 4, 357-384 (2006). Reviewer: Koichi Saka (Akita) MSC: 43A80 22E30 26D10 31C45 46E35 33C05 42A85 PDFBibTeX XMLCite \textit{J. T. Tyson}, Potential Anal. 24, No. 4, 357--384 (2006; Zbl 1099.43006) Full Text: DOI
Hrimiuc, Dragos; Popescu, Liviu Geodesics of sub-Finslerian geometry. (English) Zbl 1112.53020 Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 59-67 (2005). Reviewer: Adrian Sandovici (Piatra Neamt) MSC: 53C17 53B40 53B05 PDFBibTeX XMLCite \textit{D. Hrimiuc} and \textit{L. Popescu}, in: Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30--September 3, 2004. Prague: matfyzpress. 59--67 (2005; Zbl 1112.53020)
Monti, Roberto; Morbidelli, Daniele Isoperimetric inequality in the Grushin plane. (English) Zbl 1076.53035 J. Geom. Anal. 14, No. 2, 355-368 (2004). Reviewer: Weihuan Chen (Beijing) MSC: 53C17 52A40 PDFBibTeX XMLCite \textit{R. Monti} and \textit{D. Morbidelli}, J. Geom. Anal. 14, No. 2, 355--368 (2004; Zbl 1076.53035) Full Text: DOI