ON GROMOVS LARGE RIEMANNIAN-MANIFOLDS

被引：4

作者：

CAI, ML ^{[1
]}

机构：

[1] UNIV MIAMI,DEPT MATH & COMP SCI,CORAL GABLES,FL 33124

来源：

GEOMETRIAE DEDICATA | 1994年 / 50卷 / 01期

关键词：

Mathematics Subject Classification (1991): 53C20;

D O I：

10.1007/BF01263649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Gromov introduced several notions of largeness of Riemannian manifolds and proved that they are all equivalent for manifolds of nonnegative sectional curvature. In this paper, we study the equivalence of these notions in the case of nonnegative Ricci curvature and in particular we give an affirmative answer to one of Gromov's open questions.

引用

页码：37 / 45

页数：9

共 50 条

[1] LARGE RIEMANNIAN-MANIFOLDS
GROMOV, M
LECTURE NOTES IN MATHEMATICS, 1986, 1201 : 108 - 121
[2] RIEMANNIAN-MANIFOLDS WITH LARGE INVARIANTS
CROKE, CB
JOURNAL OF DIFFERENTIAL GEOMETRY, 1980, 15 (04) : 467 - 491
[3] SIMPLEXES IN RIEMANNIAN-MANIFOLDS
DEKSTER, BV
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (04) : 1227 - 1236
[4] SYMMETRIES ON RIEMANNIAN-MANIFOLDS
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VANHECKE, L
MATHEMATISCHE NACHRICHTEN, 1988, 136 : 81 - 90
[5] FILLING RIEMANNIAN-MANIFOLDS
GROMOV, M
JOURNAL OF DIFFERENTIAL GEOMETRY, 1983, 18 (01) : 1 - 147
[6] ON THE STABILITY OF RIEMANNIAN-MANIFOLDS
MASUOKA, R
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1989, 41 (03) : 493 - 501
[7] COLLAPSE OF RIEMANNIAN-MANIFOLDS
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ASTERISQUE, 1985, (121-) : 63 - 82
[8] STIGMATIC RIEMANNIAN-MANIFOLDS
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JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1982, 61 (04): : 381 - 400
[9] REFLECTIONS OF RIEMANNIAN-MANIFOLDS
VERHOCZKI, L
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1991, 38 (1-2): : 19 - 31
[10] CONVERGENCE OF RIEMANNIAN-MANIFOLDS
PETERS, S
COMPOSITIO MATHEMATICA, 1987, 62 (01) : 3 - 16

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