f– Kenmotsu Metric as Conformal Ricci Soliton
نویسندگان
چکیده
منابع مشابه
Sasakian Metric as a Ricci Soliton and Related Results
We prove the following results: (i) A Sasakian metric as a nontrivial Ricci soliton is null η-Einstein, and expanding. Such a characterization permits to identify the Sasakian metric on the Heisenberg group H as an explicit example of (non-trivial) Ricci soliton of such type. (ii) If an ηEinstein contact metric manifold M has a vector field V leaving the structure tensor and the scalar curvatur...
متن کاملEta-Ricci solitons on para-Kenmotsu manifolds
In the context of paracontact geometry, η-Ricci solitons are considered on manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0, S · R(ξ,X) = 0, W2(ξ,X) · S = 0 and S · W2(ξ,X) = 0. We prove that on a para-Kenmotsu manifold (M,φ, ξ, η, g), the existence of an η-Ricci soliton implies that (M, g) is quasi-Einstein and if the Ricci curvature satisfies R(ξ,X) · S = 0, then (M, g) is Ei...
متن کاملOn Φ-ricci Symmetric Kenmotsu Manifolds
The present paper deals with the study of φ-Ricci symmetric Kenmotsu manifolds. An example of a three-dimensional φ-Ricci symmetric Kenmotsu manifold is constructed for illustration. AMS Mathematics Subject Classification (2000): 53C25
متن کاملAlmost Kenmotsu 3-h-manifolds with cyclic-parallel Ricci tensor
In this paper, we prove that the Ricci tensor of an almost Kenmotsu 3-h-manifold is cyclic-parallel if and only if it is parallel and hence, the manifold is locally isometric to either the hyperbolic space H3(−1) or the Riemannian product H2(−4)× R. c ©2016 All rights reserved.
متن کاملA note on Kähler-Ricci soliton
In this note we provide a proof of the following: Any compact KRS with positive bisectional curvature is biholomorphic to the complex projective space. As a corollary, we obtain an alternative proof of the Frankel conjecture by using the Kähler-Ricci flow. The purpose of this note is to give a proof of the following theorem, which does not rely on the previous solutions of Frankel conjecture: T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of West University of Timisoara - Mathematics and Computer Science
سال: 2017
ISSN: 1841-3307
DOI: 10.1515/awutm-2017-0009