scholarly journals SOME DOUBLY-WARPED PRODUCT GRADIENT RICCI SOLITONS

2016 ◽  
Vol 31 (3) ◽  
pp. 625-635
Author(s):  
Jongsu Kim
Keyword(s):  
Warped Product ◽  
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

scholarly journals Gradient Ricci solitons on multiply warped product manifolds

Filomat ◽  
2018 ◽  
Vol 32 (12) ◽  
pp. 4221-4228
Author(s):  
Fatma Karaca ◽  
Cıhan Özgür
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Necessary And Sufficient

We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons.

Gradient Ricci Solitons with Structure of Warped Product

2016 ◽  
Vol 71 (3-4) ◽  
pp. 825-840 ◽  
Author(s):  
Márcio Lemes de Sousa ◽  
Romildo Pina
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons

scholarly journals Ricci solitons on singly warped product manifolds and applications

2021 ◽  
Vol 166 ◽  
pp. 104257
Author(s):  
Uday Chand De ◽  
Carlo Alberto Mantica ◽  
Sameh Shenawy ◽  
Bülent Ünal
Keyword(s):  
Warped Product ◽  
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 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.

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