首页|Geometry of generalized Ricci-type solitons on a class of Riemannian manifolds
Geometry of generalized Ricci-type solitons on a class of Riemannian manifolds
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NSTL
Elsevier
In this paper, the notion of generalized Ricci-type soliton is introduced and its geometrical relevance on Riemannian CR-manifold is established. Particularly, it is shown that a Riemannian CR-manifold is Einstein when its metric is a generalized Ricci-type soliton. Next, it has been proved that a Riemannian CR-manifold is Einstein-like, when its metric is a generalized gradient Ricci-type almost soliton (or generalized Ricci-type almost soliton for which the soliton vector field is collinear to the CR-vector field). Finally, we present an example of generalized Ricci-type solitons which illustrate our results.(c) 2022 Elsevier B.V. All rights reserved.
Ricci solitonGeneralized Ricci-type solitonConcurrent vector fieldRecurrent vector field
Kumara, H. Aruna、Naik, Devaraja Mallesha、Venkatesha, V.
NSTL
Elsevier
