On the curvature on G-manifolds with finitely many non-principal orbits

被引：3

作者：

Bechtluft-Sachs, S. ^{[1
]}

Wraith, D. J. ^{[1
]}

机构：

[1] Natl Univ Ireland Maynooth, Dept Math & Stat, Maynooth, Kildare, Ireland

来源：

GEOMETRIAE DEDICATA | 2013年 / 162卷 / 01期

关键词：

G-manifold; Cohomogeneity; Ricci curvature; POSITIVE RICCI CURVATURE; COHOMOGENEITY ONE MANIFOLDS; NONNEGATIVE CURVATURE; RIEMANNIAN-MANIFOLDS; EVEN DIMENSION; SPHERES; SYMMETRY;

D O I：

10.1007/s10711-012-9719-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal orbits. We prove existence results for metrics of positive Ricci curvature, and discuss some families of examples to which these existence results apply. In fact, many of our examples also admit invariant metrics of non-negative sectional curvature.

引用

页码：109 / 128

页数：20

共 20 条

[1] On the curvature on G-manifolds with finitely many non-principal orbits
S. Bechtluft-Sachs
D. J. Wraith
Geometriae Dedicata, 2013, 162 : 109 - 128
[2] On the topology of G-manifolds with finitely many non-principal orbits
Bechtluft-Sachs, S.
Wraith, D. J.
TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (15) : 3282 - 3293
[3] Riemannian G-manifolds of constant negative curvature whose all orbits are principal
Mirzaie, Reza
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2018, 9 (01): : 45 - 51
[4] On globally hyperbolic G-manifolds with non-negative timelike curvature
H. Karimi
R. Mirzaie
Acta Mathematica Hungarica, 2023, 170 : 183 - 193
[5] Lorentzian G-manifolds of Constant Positive Curvature
Mirzaie, Reza
Ebrahimi, Jafar
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2024, 17 (02): : 551 - 558
[6] On Ricci curvature of metric structures on g-manifolds
Rovenski, Vladimir
Wolak, Robert
JOURNAL OF GEOMETRY AND PHYSICS, 2021, 166
[7] On globally hyperbolic G-manifolds with non-negative timelike curvature
Karimi, H.
Mirzaie, R.
ACTA MATHEMATICA HUNGARICA, 2023, 170 (01) : 183 - 193
[8] Topology of orbits and orbit spaces of some product G-manifolds
Mirzaie, R.
Sorush, H.
MANUSCRIPTA MATHEMATICA, 2016, 149 (3-4) : 297 - 302
[9] Topology of orbits and orbit spaces of some product G-manifolds
R. Mirzaie
H. Sorush
Manuscripta Mathematica, 2016, 149 : 297 - 302
[10] 4-DIMENSIONAL G-MANIFOLDS WITH 3-DIMENSIONAL ORBITS
PARKER, J
PACIFIC JOURNAL OF MATHEMATICS, 1986, 125 (01) : 187 - 204

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