Nonnegatively curved metrics on S2 x R2

被引：8

|

作者：

Gromoll, D ^{[1
]}

Tapp, K ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

GEOMETRIAE DEDICATA | 2003年 / 99卷 / 01期

关键词：

soul; nonnegative curvature; Riemannian submersion;

D O I：

10.1023/A:1024967423590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the complete metrics of nonnegative sectional curvature on M(2)xR(2), where M-2 is any compact 2-manifold.

引用

收藏

页码：127 / 136

页数：10

相关论文

共 50 条

[1] Nonnegatively Curved Metrics on S2 × ℝ2
Detlef Gromoll
Kristopher Tapp
[J]. Geometriae Dedicata, 2003, 99 : 127 - 136
[2] Rigidity for nonnegatively curved metrics on S2 x R3
Tapp, K
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2004, 25 (01) : 43 - 58
[3] Rigidity for Nonnegatively Curved Metrics on S2 × R3
Kristopher Tapp
[J]. Annals of Global Analysis and Geometry, 2004, 25 : 43 - 58
[4] The moduli space of nonnegatively curved metrics on quotients of S2 x S3 by involutions
Goodman, McFeely Jackson
Wermelinger, Jonathan
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2022, 85
[5] On the Yamabe constants of S2 x R3 and S3 x R2
Petean, Jimmy
Ruiz, Juan Miguel
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (02) : 308 - 319
[6] Metrics with nonnegative curvature on S2 x R4
Tapp, Kristopher
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2012, 42 (01) : 61 - 77
[7] On nodal sets and nodal domains on S2 and R2
Eremenko, Alexandre
Jakobson, Dmitry
Nadirashvili, Nikolai
[J]. ANNALES DE L INSTITUT FOURIER, 2007, 57 (07) : 2345 - 2360
[8] NONDEGENERACY OF HARMONIC MAPS FROM R2 TO S2
Chen, Guoyuan
Liu, Yong
Wei, Juncheng
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (06) : 3215 - 3233
[9] HARMONIC MAPS WITH POTENTIAL FROM R2 INTO S2
Jiang, Ruiqi
[J]. ASIAN JOURNAL OF MATHEMATICS, 2016, 20 (04) : 597 - 628
[10] On some metrics on S2 × S2
Kuranishi, Masatake
[J]. Proceedings of Symposia in Pure Mathematics, 1993, 54 (02):

← 1 2 3 4 5 →