Convex hypersurfaces in Hadamard manifolds

被引：0

作者：

Borisenko, AA ^{[1
]}

机构：

[1] Kharkov Natl Univ, Fac Math, Geometry Dept, Kharkov, Ukraine

来源：

COMPLEX, CONTACT AND SYMMETRIC MANIFOLDS: IN HONOR OF L. VANHECKE | 2005年 / 234卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a theorem about an extremal property of Lobachevsky space among simply connected Riemannian manifolds of nonpositive curvature.

引用

页码：27 / 39

页数：13

共 50 条

[1] On locally convex hypersurfaces in Hadamard manifolds
Borisenko, AA
[J]. MATHEMATICAL NOTES, 2000, 67 (3-4) : 425 - 432
[2] On locally convex hypersurfaces in Hadamard manifolds
A. A. Borisenko
[J]. Mathematical Notes, 2000, 67 : 425 - 432
[3] A characterization of convex hypersurfaces in Hadamard manifolds
Erdogan, M
Yilmaz, G
[J]. MATHEMATICA SCANDINAVICA, 2005, 97 (01) : 40 - 48
[4] Comparison theorems on convex hypersurfaces in Hadamard manifolds
Borisenko, AA
Miquel, V
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2002, 21 (02) : 191 - 202
[5] Comparison Theorems on Convex Hypersurfaces in Hadamard Manifolds
Alexandr A. Borisenko
Vicente Miquel
[J]. Annals of Global Analysis and Geometry, 2002, 21 : 191 - 202
[6] The global structure of locally convex hypersurfaces in Finsler—Hadamard manifolds
A. A. Borisenko
E. A. Olin
[J]. Mathematical Notes, 2010, 87 : 155 - 164
[7] The global structure of locally convex hypersurfaces in Finsler-Hadamard manifolds
Borisenko, A. A.
Olin, E. A.
[J]. MATHEMATICAL NOTES, 2010, 87 (1-2) : 155 - 164
[8] Convex sets in Hadamard manifolds
Borisenko, AA
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2002, 17 (2-3) : 111 - 121
[9] TITS DISTANCE OF HADAMARD MANIFOLDS AND ISOPARAMETRIC HYPERSURFACES
ESCHENBURG, JH
SCHROEDER, V
[J]. GEOMETRIAE DEDICATA, 1991, 40 (01) : 97 - 101
[10] The Difference of Convex Algorithm on Hadamard Manifolds
Bergmann, Ronny
Ferreira, Orizon P.
Santos, Elianderson M.
Souza, Joao Carlos O.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 201 (01) : 221 - 251

← 1 2 3 4 5 →