Three-dimensional Steady Gradient Ricci Solitons with Linear Curvature Decay

2017 ◽  
Vol 2019 (4) ◽  
pp. 1108-1124 ◽  
Author(s):  
Yuxing Deng ◽  
Xiaohua Zhu
Keyword(s):  
Three Dimensional ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Curvature Decay

scholarly journals Certain results on N(k)-contact metric manifolds

2018 ◽  
Vol 49 (3) ◽  
pp. 205-220
Author(s):  
Uday Chand De
Keyword(s):  
Vector Field ◽  
Three Dimensional ◽  
Characteristic Vector ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Contact Metric Manifolds ◽  
Nullity Distribution ◽  
Characteristic Vector Field

In the present paper we study contact metric manifolds whose characteristic vector field $\xi$ belonging to the $k$-nullity distribution. First we consider concircularly pseudosymmetric $N(k)$-contact metric manifolds of dimension $(2n+1)$. Beside these, we consider Ricci solitons and gradient Ricci solitons on three dimensional $N(k)$-contact metric manifolds. As a consequence we obtain several results. Finally, an example is given.

scholarly journals Three-dimensional Lorentzian homogeneous Ricci solitons

2011 ◽  
Vol 188 (1) ◽  
pp. 385-403 ◽  
Author(s):  
M. Brozos-Vázquez ◽  
G. Calvaruso ◽  
E. García-Río ◽  
S. Gavino-Fernández
Keyword(s):  
Three Dimensional ◽  
Ricci Solitons

Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection

2021 ◽  
pp. 80-85
Author(s):  
Pavel Nikolaevich Klepikov ◽  
◽  
Evgeny Dmitrievich Rodionov ◽  
Olesya Pavlovna Khromova ◽  
◽  
...  
Keyword(s):  
Lie Groups ◽  
Three Dimensional ◽  
Ricci Solitons ◽  
Symmetric Connection

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.

Sign in / Sign up

Export Citation Format

Share Document