RELATIONS BETWEEN METRICS OF ALMOST POSITIVE CURVATURE ON THE GROMOLL-MEYER SPHERE

被引：2

作者：

Dearricott, Owen ^{[1
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 06期

关键词：

D O I：

10.1090/S0002-9939-2011-11056-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a simplified proof that Wilhelm's metric on the Gromoll-Meyer sphere has positive curvature almost everywhere. We determine that its zero locus coincides with that of the almost positively curved metric of Eschenburg and Kerin.

引用

页码：2169 / 2178

页数：10

共 7 条

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Kerin, M.
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[3] Eschenburg J.-H., 1984, SCHR MATH I MUNSTER, V32
[4] EXOTIC SPHERE WITH NONNEGATIVE SECTIONAL CURVATURE
GROMOLL, D
MEYER, W
[J]. ANNALS OF MATHEMATICS, 1974, 100 (02) : 401 - 406
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[6] Exotic Spheres with lots of Positive Curvatures
Wilhelm, Frederick
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2001, 11 (01) : 161 - 186
[7] Manifolds with positive sectional curvature almost everywhere
Wilking, B
[J]. INVENTIONES MATHEMATICAE, 2002, 148 (01) : 117 - 141

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