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.
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页数：9
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