scholarly journals On a Classification of 4-d Gradient Ricci Solitons with Harmonic Weyl Curvature

2016 ◽  
Vol 27 (2) ◽  
pp. 986-1012 ◽  
Author(s):  
Jongsu Kim
Keyword(s):  
Ricci Solitons ◽  
Weyl Curvature ◽  
Gradient Ricci Solitons

CLASSIFICATION OF STEADY GRADIENT RICCI SOLITONS ON TWO-MANIFOLDS

2012 ◽  
Vol 09 (05) ◽  
pp. 1250049 ◽  
Author(s):  
GABRIEL BERCU ◽  
MIHAI POSTOLACHE
Keyword(s):  
Riemannian Manifold ◽  
Case Studies ◽  
Wide Class ◽  
Positive Function ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons

In our very recent published work [Int. J. Geom. Meth. Mod. Phys.8(4) (2011) 783–796], we considered the Riemannian manifold M = ℝ2 endowed with the warped metric ḡ(x, y) = diag (g(y), 1), where g is a positive function, of C∞-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.

scholarly journals On the classification of gradient Ricci solitons

2010 ◽  
Vol 14 (4) ◽  
pp. 2277-2300 ◽  
Author(s):  
Peter Petersen ◽  
William Wylie
Keyword(s):  
Ricci Solitons ◽  
Gradient Ricci Solitons

scholarly journals ON A CLASSIFICATION OF WARPED PRODUCT SPACES WITH GRADIENT RICCI SOLITONS

2016 ◽  
Vol 24 (4) ◽  
pp. 627-636 ◽  
Author(s):  
Sang Deok Lee ◽  
Byung Hak Kim ◽  
Jin Hyuk Choi
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Product Spaces ◽  
Gradient Ricci Solitons ◽  
Warped Product Spaces

Classification of gradient shrinking Ricci solitons with bounded Ricci curvature

2020 ◽  
Vol 71 ◽  
pp. 101637
Author(s):  
Fei Yang ◽  
Zijun Wang ◽  
Liangdi Zhang
Keyword(s):  
Ricci Curvature ◽  
Ricci Solitons

scholarly journals GRADIENT RICCI SOLITONS WITH SEMI-SYMMETRY

2014 ◽  
Vol 51 (1) ◽  
pp. 213-219
Author(s):  
Jong Taek Cho ◽  
Jiyeon Park
Keyword(s):  
Ricci Solitons ◽  
Gradient Ricci Solitons

Classification of gradient expanding and steady Ricci solitons

2019 ◽  
Vol 301 (1) ◽  
pp. 371-384
Author(s):  
Fei Yang ◽  
Shouwen Fang ◽  
Liangdi Zhang
Keyword(s):  
Ricci Solitons
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