Gradient Ricci Solitons with a Conformal Vector Field

Authors

Ramesh Sharma, University of New HavenFollow

Author URLs

Professor Sharma's Faculty Profile

Professor Sharma's web site

Document Type

Article

Publication Date

8-2018

Subject: LCSH

Vector fields, Shapes, Mathematics

Disciplines

Mathematics

Abstract

We show that a connected gradient Ricci soliton (M,g,f,λ) with constant scalar curvature and admitting a non-homothetic conformal vector field V leaving the potential vector field invariant, is Einstein and the potential function f is constant. For locally conformally flat case and non-homothetic V we show without constant scalar curvature assumption, that f is constant and g has constant curvature.

Comments

This is a post-peer-review, pre-copyedit version of an article published in Journal of Geometry. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00022-018-0439-x.

Mathematics Subject Classification 53C25 53C44

DOI

10.1007/s00022-018-0439-x

Repository Citation

Sharma, Ramesh, "Gradient Ricci Solitons with a Conformal Vector Field" (2018). Mathematics Faculty Publications. 16.
https://digitalcommons.newhaven.edu/mathematics-facpubs/16

Publisher Citation

Sharma, R. (2018). Gradient Ricci solitons with a conformal vector field. Journal of Geometry, 109(2), 33.