Ricci solitons on η-einstein contact manifolds
Reads0
Chats0
TLDR
In this article, the Ricci solitons on η-Einstein contact manifolds were studied and some important corollaries were derived for the main result of the present paper.Abstract:
The object of the present paper is to study Ricci solitons on η-Einstein contact manifolds. As a consequence of the main result we deduce some important corollaries.read more
Citations
More filters
References
More filters
Journal ArticleDOI
Contact metric manifolds satisfying a nullity condition
TL;DR: In this article, a study of contact metric manifolds for which the characteristic vector field of the contact structure satisfies a nullity type condition, condition (*) below, is presented.
Journal ArticleDOI
New examples of complete Ricci solitons
TL;DR: The Ricci soliton condition reduces to a set of ODEs when one assumes that the metric is a doubly-warped product of a ray with a sphere and an Einstein manifold as discussed by the authors.
Journal ArticleDOI
Complete Shrinking Ricci Solitons have Finite Fundamental Group
TL;DR: In this article, it was shown that if a complete Riemannian manifold supports a vector field such that the Ricci tensor plus the Lie derivative of the metric with respect to the vector field has a positive lower bound, then the fundamental group is finite.