Sahjwani, Prachi; Scheuer, Julian Stability of the quermassintegral inequalities in hyperbolic space. (English) Zbl 1527.53040 J. Geom. Anal. 34, No. 1, Paper No. 13, 14 p. (2024). MSC: 53C23 53C42 52A39 53E99 PDFBibTeX XMLCite \textit{P. Sahjwani} and \textit{J. Scheuer}, J. Geom. Anal. 34, No. 1, Paper No. 13, 14 p. (2024; Zbl 1527.53040) Full Text: DOI arXiv OA License
Sukhorebska, Darya Simple closed geodesics on regular tetrahedra in spaces of constant curvature. (English) Zbl 07793323 J. Math. Phys. Anal. Geom. 18, No. 4, 562-610 (2022). MSC: 53C22 52B10 PDFBibTeX XMLCite \textit{D. Sukhorebska}, J. Math. Phys. Anal. Geom. 18, No. 4, 562--610 (2022; Zbl 07793323) Full Text: DOI arXiv
Croce, Gisella; Fattah, Zakaria; Pisante, Giovanni A reverse isoperimetric inequality for planar \((\alpha, \beta)\)-convex bodies. (English) Zbl 1498.52004 ESAIM, Control Optim. Calc. Var. 28, Paper No. 62, 18 p. (2022). MSC: 52A10 52A40 49Q10 49K15 PDFBibTeX XMLCite \textit{G. Croce} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 62, 18 p. (2022; Zbl 1498.52004) Full Text: DOI arXiv
Wei, Yong; Yang, Bo Volume preserving flows for convex curves and surfaces in the hyperbolic space. (English) Zbl 1505.53105 J. Funct. Anal. 283, No. 11, Article ID 109685, 28 p. (2022). MSC: 53E10 52A39 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{B. Yang}, J. Funct. Anal. 283, No. 11, Article ID 109685, 28 p. (2022; Zbl 1505.53105) Full Text: DOI
Borisenko, Alexander A. A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space. (English. Russian original) Zbl 1490.51015 Sb. Math. 213, No. 2, 161-172 (2022); translation from Mat. Sb. 213, No. 2, 37-49 (2022). Reviewer: Mikhail Belolipetsky (Rio de Janeiro) MSC: 51M10 52A55 PDFBibTeX XMLCite \textit{A. A. Borisenko}, Sb. Math. 213, No. 2, 161--172 (2022; Zbl 1490.51015); translation from Mat. Sb. 213, No. 2, 37--49 (2022) Full Text: DOI
Ghomi, Mohammad; Spruck, Joel Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds. (English) Zbl 1497.53076 J. Geom. Anal. 32, No. 2, Paper No. 50, 54 p. (2022). Reviewer: Charalampos Charitos (Athína) MSC: 53C20 58J05 52A38 49Q15 PDFBibTeX XMLCite \textit{M. Ghomi} and \textit{J. Spruck}, J. Geom. Anal. 32, No. 2, Paper No. 50, 54 p. (2022; Zbl 1497.53076) Full Text: DOI arXiv
Borisenko, A. A.; Sukhorebska, D. D. Simple closed geodesics on regular tetrahedra in spherical space. (English. Russian original) Zbl 1477.51020 Sb. Math. 212, No. 8, 1040-1067 (2021); translation from Mat. Sb. 212, No. 8, 3-32 (2021). MSC: 51M10 52A55 PDFBibTeX XMLCite \textit{A. A. Borisenko} and \textit{D. D. Sukhorebska}, Sb. Math. 212, No. 8, 1040--1067 (2021; Zbl 1477.51020); translation from Mat. Sb. 212, No. 8, 3--32 (2021) Full Text: DOI arXiv
Bezdek, Károly Volumetric bounds for intersections of congruent balls in Euclidean spaces. (English) Zbl 1475.52003 Aequationes Math. 95, No. 4, 653-665 (2021). Reviewer: Carsten Schütt (Kiel) MSC: 52A20 52A22 PDFBibTeX XMLCite \textit{K. Bezdek}, Aequationes Math. 95, No. 4, 653--665 (2021; Zbl 1475.52003) Full Text: DOI arXiv
Borisenko, Alexander A. An estimation of the length of a convex curve in two-dimensional Aleksandrov spaces. (English) Zbl 1488.53222 J. Math. Phys. Anal. Geom. 16, No. 3, 221-227 (2020). MSC: 53E99 52A40 PDFBibTeX XMLCite \textit{A. A. Borisenko}, J. Math. Phys. Anal. Geom. 16, No. 3, 221--227 (2020; Zbl 1488.53222) Full Text: arXiv Link
Balestro, Vitor; Martini, Horst; Sakaki, Makoto Differential geometry of spatial curves for gauges. (English) Zbl 1467.46014 São Paulo J. Math. Sci. 14, No. 2, 496-509 (2020). MSC: 46B20 52A15 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., São Paulo J. Math. Sci. 14, No. 2, 496--509 (2020; Zbl 1467.46014) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Differential geometry of immersed surfaces in three-dimensional normed spaces. (English) Zbl 1475.53022 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111-134 (2020). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53A35 53A15 52A15 52A21 46B20 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111--134 (2020; Zbl 1475.53022) Full Text: DOI arXiv
Chernov, Roman; Drach, Kostiantyn; Tatarko, Kateryna A sausage body is a unique solution for a reverse isoperimetric problem. (English) Zbl 1421.52008 Adv. Math. 353, 431-445 (2019). MSC: 52A30 52A38 53A07 52A39 52A40 52B60 PDFBibTeX XMLCite \textit{R. Chernov} et al., Adv. Math. 353, 431--445 (2019; Zbl 1421.52008) Full Text: DOI arXiv
Andrews, Ben; Wei, Yong Quermassintegral preserving curvature flow in hyperbolic space. (English) Zbl 1401.53047 Geom. Funct. Anal. 28, No. 5, 1183-1208 (2018). MSC: 53C44 53C21 52A40 53C65 PDFBibTeX XMLCite \textit{B. Andrews} and \textit{Y. Wei}, Geom. Funct. Anal. 28, No. 5, 1183--1208 (2018; Zbl 1401.53047) Full Text: DOI arXiv
Borisenko, Alexander A. Reverse isoperimetric inequality in two-dimensional Alexandrov spaces. (English) Zbl 1381.53128 Proc. Am. Math. Soc. 145, No. 10, 4465-4471 (2017). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C45 52A40 PDFBibTeX XMLCite \textit{A. A. Borisenko}, Proc. Am. Math. Soc. 145, No. 10, 4465--4471 (2017; Zbl 1381.53128) Full Text: DOI arXiv
Wang, Guofang; Xia, Chao Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space. (English) Zbl 1292.52008 Adv. Math. 259, 532-556 (2014). Reviewer: Mihai Cipu (Bucureşti) MSC: 52A40 53C65 53C44 PDFBibTeX XMLCite \textit{G. Wang} and \textit{C. Xia}, Adv. Math. 259, 532--556 (2014; Zbl 1292.52008) Full Text: DOI arXiv
Parkkonen, Jouni; Paulin, Frédéric On strictly convex subsets in negatively curved manifolds. (English) Zbl 1259.53018 J. Geom. Anal. 22, No. 3, 621-632 (2012). Reviewer: Jan Kurek (Lublin) MSC: 53B25 53C40 52A99 PDFBibTeX XMLCite \textit{J. Parkkonen} and \textit{F. Paulin}, J. Geom. Anal. 22, No. 3, 621--632 (2012; Zbl 1259.53018) Full Text: DOI arXiv
Gallego, E.; Reventós, A.; Solanes, G.; Teufel, E. Width of convex bodies in spaces of constant curvature. (English) Zbl 1144.52006 Manuscr. Math. 126, No. 1, 115-134 (2008). Reviewer: Andreas Bernig (Fribourg) MSC: 52A38 52A22 52A40 PDFBibTeX XMLCite \textit{E. Gallego} et al., Manuscr. Math. 126, No. 1, 115--134 (2008; Zbl 1144.52006) Full Text: DOI
Gurin, A. M. A property of the normal subdivision of space into polyhedra induced by a packing of compact bodies. (English. Russian original) Zbl 1145.52304 J. Math. Sci., New York 131, No. 1, 5275-5277 (2005); translation from Zap. Nauchn. Semin. POMI 229, 38-41 (2003). MSC: 52C17 PDFBibTeX XMLCite \textit{A. M. Gurin}, J. Math. Sci., New York 131, No. 1, 5275--5277 (2005; Zbl 1145.52304); translation from Zap. Nauchn. Semin. POMI 229, 38--41 (2003) Full Text: DOI
Gallego, Eduardo; Solanes, Gil Integral geometry and geometric inequalities in hyperbolic space. (English) Zbl 1077.52010 Differ. Geom. Appl. 22, No. 3, 315-325 (2005). Reviewer: Paolo Dulio (Milano) MSC: 52A55 53C65 60D05 PDFBibTeX XMLCite \textit{E. Gallego} and \textit{G. Solanes}, Differ. Geom. Appl. 22, No. 3, 315--325 (2005; Zbl 1077.52010) Full Text: DOI
Borisenko, A. A.; Gallego, E.; Reventós, A. Relation between area and volume for \(\lambda\)-convex sets in Hadamard manifolds. (English) Zbl 0981.52006 Differ. Geom. Appl. 14, No. 3, 267-280 (2001). Reviewer: E.Gallego (Barcelona) MSC: 52A55 52A10 PDFBibTeX XMLCite \textit{A. A. Borisenko} et al., Differ. Geom. Appl. 14, No. 3, 267--280 (2001; Zbl 0981.52006) Full Text: DOI