RICCI CURVATURE OF CONFORMAL DEFORMATION ON COMPACT 2-MANIFOLDS

被引：0

作者：

Jung, Yoon-Tae ^{[1
]}

Lee, Soo-Young ^{[1
]}

Choi, Eun-Hee ^{[1
]}

机构：

[1] Chosun Univ, Dept Math, Kwangju 61452, South Korea

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 06期

关键词：

Conformal deformation; Ricci curvature; Einstein manifold;

D O I：

10.3934/cpaa.2020140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider Ricci curvature of conformal deformation on compact 2-manifolds. And we prove that, by the conformal deformation, the resulting manifold is an Einstein manifold.

引用

页码：3223 / 3231

页数：9

共 50 条

[31] Notes on a conformal characterization of 2-dimensional lorentzian manifolds with constant ricci scalar curvature
Cangiotti, Nicolò
Sensi, Mattia
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (02): : 129 - 136
[32] MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE .2.
CALABI, E
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A205 - A205
[33] Automatic continuity in homeomorphism groups of compact 2-manifolds
Rosendal, Christian
ISRAEL JOURNAL OF MATHEMATICS, 2008, 166 (01) : 349 - 367
[34] COMPACT MINIMAL SUB-MANIFOLDS OF A SPHERE WITH POSITIVE RICCI CURVATURE
EJIRI, N
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1979, 31 (02) : 251 - 256
[35] Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
Gamara, Najoua
Hasnaoui, Abdelhalim
Makni, Akrem
OPEN MATHEMATICS, 2015, 13 : 557 - 570
[36] On the Albanese map of compact Kahler manifolds with numerically effective Ricci curvature
Paun, MH
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2001, 9 (01) : 35 - 60
[37] RICCI CURVATURE AND CONFORMAL GEOMETRY
BUZZANCA, C
ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 147 : 1 - 19
[38] Automatic continuity in homeomorphism groups of compact 2-manifolds
Christian Rosendal
Israel Journal of Mathematics, 2008, 166 : 349 - 367
[39] HOMEOTOPY GROUPS OF COMPACT 2-MANIFOLDS - PRELIMINARY REPORT
SPROWS, DJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (03): : A406 - A406
[40] THE ROLE OF TOTAL CURVATURE ON COMPLETE NONCOMPACT RIEMANNIAN 2-MANIFOLDS
SHIOHAMA, K
ILLINOIS JOURNAL OF MATHEMATICS, 1984, 28 (04) : 597 - 620

← 1 2 3 4 5 →