Results 31 to 40 of about 174,038 (179)

Sasakian Manifolds Admitting ∗-η-Ricci-Yamabe Solitons

Advances in Mathematical Physics, 2022
In this note, we characterize Sasakian manifolds endowed with ∗-η-Ricci-Yamabe solitons. Also, the existence of ∗-η-Ricci-Yamabe solitons in a 5-dimensional Sasakian manifold has been proved through a concrete example.
Abdul Haseeb, Rajendra Prasad, Fatemah Mofarreh   +2 more
doaj   +1 more source

Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature [PDF]

Journal des Mathématiques Pures et Appliquées
This is a sequel to our paper [24], in which we investigated the geometry of 4-dimensional gradient shrinking Ricci solitons with half positive (nonnegative) isotropic curvature.
Huai-Dong Cao, Junming Xie
semanticscholar   +1 more source

Generalized Ricci Solitons of Three-Dimensional Lorentzian Lie Groups Associated Canonical Connections and Kobayashi-Nomizu Connections

Journal of Nonlinear Mathematical Physics, 2022
In this paper, we study the affine generalized Ricci solitons on three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu connections and we classifying these left-invariant affine generalized Ricci solitons with some
S. Azami
semanticscholar   +1 more source

A Note on Kahler-Ricci Soliton [PDF]

International Mathematics Research Notices, 2009
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.
Chen, Xiuxiong, Sun, Song, Tian, Gang
openaire   +2 more sources

Generalized Ricci Solitons on Non-reductive Four-Dimensional Homogeneous Spaces

Journal of Nonlinear Mathematical Physics, 2023
In the present paper, we consider the non-reductive four-dimensional homogeneous spaces and we classify homogeneous generalized Ricci solitons on these spaces.
S. Azami, Ghodratallah Fasihi-Ramandi, Vahid Pirhadi   +2 more
semanticscholar   +1 more source

Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons [PDF]

, 2013
In this paper we consider connections between Ricci solitons and Einstein metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton admits an Einstein one-dimensional extension if the soliton derivation can be chosen to be normal.
He, Chenxu, Petersen, Peter, Wylie, William   +2 more
core   +1 more source

On Ricci solitons in LP-Sasakian manifolds

Bibechana, 2020
In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking.
Riddhi Jung Shah
doaj   +3 more sources

The curvature of gradient Ricci solitons [PDF]

Mathematical Research Letters, 2011
We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.
Munteanu, Ovidiu, Wang, Mu-Tao
openaire   +2 more sources

η-Ricci Solitons on Sasakian 3-Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip, De Uday Chand, Kar Debabrata   +2 more
doaj   +1 more source

Evolution of the Weyl Tensor under the Ricci Flow [PDF]

, 2011
We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci ...
Catino, Giovanni, Mantegazza, Carlo
core   +3 more sources