An exotic sphere with positive curvature almost everywhere

被引：0

作者：

Frederick Wilhelm

机构：

[1] University of California,Department of Mathematics

来源：

The Journal of Geometric Analysis | 2001年 / 11卷 / 3期

关键词：

53C20; exotic sphere; positive curvature;

D O I：

10.1007/BF02922018

中图分类号：

学科分类号：

摘要：

In this article we show that there is an exotic sphere with positive sectional curvature almost everywhere.

引用

页码：519 / 560

页数：41

共 50 条

[1] Manifolds with positive sectional curvature almost everywhere
Wilking, B
INVENTIONES MATHEMATICAE, 2002, 148 (01) : 117 - 141
[2] Manifolds with positive sectional curvature almost everywhere
Burkhard Wilking
Inventiones mathematicae, 2002, 148 : 117 - 141
[3] Examples of Riemannian manifolds with positive curvature almost everywhere
Petersen, Peter
Wilhelm, Frederick
GEOMETRY & TOPOLOGY, 1999, 3 : 331 - 367
[4] Almost positive curvature on the Gromoll-Meyer sphere
Eschenburg, J. -H.
Kerin, M.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (09) : 3263 - 3270
[5] Almost positive curvature on the Gromoll-Meyer 7-sphere
Eschenburg, JH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (04) : 1165 - 1167
[6] EXOTIC SPHERE WITH NONNEGATIVE SECTIONAL CURVATURE
GROMOLL, D
MEYER, W
ANNALS OF MATHEMATICS, 1974, 100 (02) : 401 - 406
[7] RELATIONS BETWEEN METRICS OF ALMOST POSITIVE CURVATURE ON THE GROMOLL-MEYER SPHERE
Dearricott, Owen
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (06) : 2169 - 2178
[8] THE CURVATURE OF MOST CONVEX SURFACES VANISHES ALMOST EVERYWHERE
ZAMFIRESCU, T
MATHEMATISCHE ZEITSCHRIFT, 1980, 174 (02) : 135 - 139
[9] Approximation and almost everywhere convergence of Cesaro means on the unit sphere
Yu, Chun-Wu
Chen, Xin-Meng
Dai, Feng
Wuhan Daxue Xuebao (Lixue Ban)/Journal of Wuhan University (Natural Science Edition), 2002, 48 (03):
[10] Exotic spheres with positive Ricci curvature
Wraith, D
JOURNAL OF DIFFERENTIAL GEOMETRY, 1997, 45 (03) : 638 - 649

← 1 2 3 4 5 →