Alexandrov spaces with nonnegative curvature outside a compact set

被引：3

作者：

Koh, LK

机构：

[1] National University of Singapore,Department of Mathematics

来源：

MANUSCRIPTA MATHEMATICA | 1997年 / 94卷 / 03期

关键词：

D O I：

10.1007/BF02677862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Alexandrov spaces with nonnegative curvature outside a compact set have number of ends uniformly bounded above. If the compact set is small, the spaces have at most two ends.

引用

页码：401 / 407

页数：7

共 50 条

[31] NONNEGATIVE CURVATURE ON PIECEWISE CONSTANT CURVATURE SPACES
PESZEK, R
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 334 (01) : 303 - 315
[32] Nonnegative curvature on stable bundles over compact rank one symmetric spaces
Gonzalez-Alvaro, David
ADVANCES IN MATHEMATICS, 2017, 307 : 53 - 71
[33] GRADIENT FLOWS ON WASSERSTEIN SPACES OVER COMPACT ALEXANDROV SPACES
Ohta, Shin-ichi
AMERICAN JOURNAL OF MATHEMATICS, 2009, 131 (02) : 475 - 516
[34] Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature
John Harvey
Catherine Searle
The Journal of Geometric Analysis, 2017, 27 : 1636 - 1666
[35] Finiteness and realization theorems for Alexandrov spaces with bounded curvature
Fernando Galaz-García
Wilderich Tuschmann
Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 749 - 756
[36] Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature
Harvey, John
Searle, Catherine
JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (02) : 1636 - 1666
[37] On tangent cones of Alexandrov spaces with curvature bounded below
Halbeisen, S
MANUSCRIPTA MATHEMATICA, 2000, 103 (02) : 169 - 182
[38] Finiteness and realization theorems for Alexandrov spaces with bounded curvature
Galaz-Garcia, Fernando
Tuschmann, Wilderich
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 749 - 756
[39] Diameters of spherical Alexandrov spaces and curvature one orbifolds
Greenwald, SJ
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2000, 49 (04) : 1449 - 1479
[40] A rigidity theorem in Alexandrov spaces with lower curvature bound
Takumi Yokota
Mathematische Annalen, 2012, 353 : 305 - 331

← 1 2 3 4 5 →