scholarly journals On Ricci solitons of cohomogeneity one

2010 ◽  
Vol 39 (3) ◽  
pp. 259-292 ◽  
Author(s):  
Andrew S. Dancer ◽  
McKenzie Y. Wang
Keyword(s):  
Ricci Solitons ◽  
Cohomogeneity One

scholarly journals Complete Ricci Solitons via Estimates on the Soliton Potential

2020 ◽  
Author(s):  
Matthias Wink
Keyword(s):  
Large Class ◽  
Ricci Solitons ◽  
Growth Estimate ◽  
Cohomogeneity One ◽  
Cohomogeneity One Manifolds

Abstract In this paper, a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the setups of Lü–Page–Pope [ 24] and Dancer–Wang [ 17]. It also provides a different approach to the two summands system [ 30] that applies to all known geometric examples.

Cohomogeneity one Ricci solitons

2011 ◽  
Author(s):  
Andrew Dancer ◽  
Mckenzie Y. Wang ◽  
Carlos Herdeiro ◽  
Roger Picken
Keyword(s):  
Ricci Solitons ◽  
Cohomogeneity One

scholarly journals Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study

2013 ◽  
Vol 17 (1) ◽  
pp. 33-62 ◽  
Author(s):  
Andrew S. Dancer ◽  
Stuart J. Hall ◽  
McKenzie Y. Wang
Keyword(s):  
Numerical Study ◽  
Ricci Solitons ◽  
Cohomogeneity One

* - Ricci solitons on ε-para sasakian 3-manifolds

2020 ◽  
Vol 61(12) (2) ◽  
pp. 265-274
Author(s):  
Krishnendu De ◽  
◽  
Chiranjib Dey ◽  
Keyword(s):  
Ricci Solitons

scholarly journals On the automorphism group of a symplectic half-flat 6-manifold

2019 ◽  
Vol 31 (1) ◽  
pp. 265-273
Author(s):  
Fabio Podestà ◽  
Alberto Raffero
Keyword(s):  
Automorphism Group ◽  
Lie Algebra ◽  
Group Action ◽  
Cohomogeneity One ◽  
Cohomogeneity One Action

Abstract We prove that the automorphism group of a compact 6-manifold M endowed with a symplectic half-flat {\mathrm{SU}(3)} -structure has Abelian Lie algebra with dimension bounded by {\min\{5,b_{1}(M)\}} . Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on {T\mathbb{S}^{3}} which are invariant under a cohomogeneity one action of {\mathrm{SO}(4)} .

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
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