CLASSIFICATION OF STEADY GRADIENT RICCI SOLITONS ON TWO-MANIFOLDS

被引：3

作者：

Bercu, Gabriel ^{[1
]}

Postolache, Mihai ^{[2
]}

机构：

[1] Univ Dunarea de Jos, Dept Math, Galati 800008, Romania

[2] Univ Politehn Bucuresti, Fac Sci Appl, Bucharest 060042, Romania

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2012年 / 9卷 / 05期

关键词：

Riemannian manifold; curvature; gradient Ricci soliton; completeness;

D O I：

10.1142/S0219887812500491

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In our very recent published work [Int. J. Geom. Meth. Mod. Phys. 8(4) (2011) 783-796], we considered the Riemannian manifold M = R-2 endowed with the warped metric (g) over bar (x, y) = diag(g(y), 1), where g is a positive function, of C-infinity-class, depending on the variable y only. Within this framework, we found a wide class of 2D gradient Ricci solitons and specialized our results to discuss some case studies. This research is a natural continuation, providing classification results for the subclass of steady gradient Ricci solitons.

引用

页数：9