Affiliation:
1. West University of Timişoara, Department of Mathematics, Timişoara, România
Abstract
If the potential vector field of an ?-Ricci soliton is of gradient type,
using Bochner formula, we derive from the soliton equation a nonlinear
second order PDE. In a particular case of irrotational potential vector
field we prove that the soliton is completely determined by f . We give a
way to construct a gradient ?-Ricci soliton on a warped product manifold and
show that if the base manifold is oriented, compact and of constant scalar
curvature, the soliton on the product manifold gives a lower bound for its
scalar curvature.
Publisher
National Library of Serbia
Cited by
20 articles.
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