Comparison Theorems on Convex Hypersurfaces in Hadamard Manifolds

被引:0
作者
Alexandr A. Borisenko
Vicente Miquel
机构
[1] Kharkov National University,Geometry Department, Math.
[2] Universidad de Valencia,Mech. Faculty
来源
Annals of Global Analysis and Geometry | 2002年 / 21卷
关键词
circumradius; convex domain; Hadamard manifold; hyperbolic space; inradius; -th curvature;
D O I
暂无
中图分类号
学科分类号
摘要
In a Hadamard manifold with sectional curvaturebounded from below by −k22, we give sharp upper estimates for the difference circumradius minus inradiusof a compact k2-convex domain, and we getalso estimates for the quotient (Total d-mean curvature)/Area of a convex domain.
引用
收藏
页码:191 / 202
页数:11
相关论文
共 50 条
[41]   Some algorithms for equilibrium problems on Hadamard manifolds [J].
Muhammad Aslam Noor ;
Khalida Inayat Noor .
Journal of Inequalities and Applications, 2012
[42]   Relaxed μ-quasimonotone variational inequalities in Hadamard manifolds [J].
Amini-Hararandi, Alireza ;
Fakhar, Majid ;
Nasiri, Laleh .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (03)
[43]   An extragradient method for equilibrium problems on Hadamard manifolds [J].
Cruz Neto, J. X. ;
Santos, P. S. M. ;
Soares, P. A., Jr. .
OPTIMIZATION LETTERS, 2016, 10 (06) :1327-1336
[44]   An extragradient method for equilibrium problems on Hadamard manifolds [J].
J. X. Cruz Neto ;
P. S. M. Santos ;
P. A. Soares .
Optimization Letters, 2016, 10 :1327-1336
[45]   Generalized vector equilibrium problems on Hadamard manifolds [J].
Jana, Shreyasi ;
Nahak, Chandal ;
Ionescu, Cristiana .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03) :1402-1409
[46]   Vector variational inequality with pseudoconvexity on Hadamard manifolds [J].
Chen, Sheng-lan ;
Fang, Chang-jie .
OPTIMIZATION, 2016, 65 (12) :2067-2080
[47]   FENCHEL DUALITY AND A SEPARATION THEOREM ON HADAMARD MANIFOLDS [J].
Louzeiro, Mauricio Silva ;
Bergmann, Ronny ;
Herzog, Roland .
SIAM JOURNAL ON OPTIMIZATION, 2022, 32 (02) :854-873
[48]   Weakly horospherically convex hypersurfaces in hyperbolic space [J].
Vincent Bonini ;
Jie Qing ;
Jingyong Zhu .
Annals of Global Analysis and Geometry, 2017, 52 :201-212
[49]   Weakly horospherically convex hypersurfaces in hyperbolic space [J].
Bonini, Vincent ;
Qing, Jie ;
Zhu, Jingyong .
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2017, 52 (02) :201-212
[50]   An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds [J].
Fan, Jingjing ;
Tan, Bing ;
Li, Songxiao .
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02)