Results 101 to 110 of about 807,926 (146)

Riemann Solitons on a Spacetime with the Spatially Homogeneous Rotating Metric

Axioms
This manuscript presents a comprehensive taxonomy of Riemann solitons within the framework of a spacetime manifold endowed with a metric exhibiting both spatial homogeneity and rotational characteristics.
Majid Ali Choudhary, Foued Aloui, Ibrahim Al-Dayel   +2 more
doaj   +1 more source

The Soliton-Ricci Flow with variable volume forms

Complex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
doaj   +1 more source

Almost Gradient Pseudo-Ricci Solitons on Hopf Hypersurfaces

We study almost gradient pseudo-Ricci solitons on Hopf hypersurfaces of non-flat complex space forms. We prove that such solitons are trivial gradient pseudo-Ricci solitons and that the hypersurface is pseudo-Einstein.
Mayuko Kon
core   +1 more source

Classification of Warped Product Submanifolds in Kenmotsu Space Forms Admitting Gradient Ricci Solitons

Mathematics, 2019
The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj   +1 more source

Gradient Kahler Ricci solitons

, 2008
Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed ...
Bryant, RL
core   +1 more source

A Survey on Gradient Ricci Solitons

, 2017
瑞曲流(Ricci flow) 為理察• 哈密頓(Richard Hamilton) 為解決三維龐加萊猜想(Poincaré conjecture) 所發展的重要工具。瑞曲流中的孤立子(Solitons) 是在瑞曲流中的自我相似解(self-similar solution)，是瑞曲流奇點的重要模型，裴瑞爾曼(Grigori Perelman) 在三維成功發展處理孤立子的技巧，進而解決龐加萊猜想。這些孤立子的分類中，有一類稱為梯度孤立子(Gradient soliton)，可由梯度函數描述。 在2015
胡宗維, Hu, Tsung-Wei
core   +1 more source

On a class of gradient almost ricci solitons

, 2020
WOS:000571920400014In this study, we provide some classifications for half-conformally flat gradient f - almost Ricci solitons, denoted by (M, g, f ), in both Lorentzian and neutral signature.
Güler, Sinem
core   +1 more source

Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor

Axioms
In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Rawan Bossly
doaj   +1 more source

Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil⁴

Mathematics
This study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce a Ricci solitons’ classification on (Nil4,g). These are expansive non-gradient Ricci solitons.
Yanlin Li, Ahmed Mohammed Cherif, Yuquan Xie   +2 more
doaj   +1 more source

Liouville theorems for harmonic 1-forms on gradient Ricci solitons [PDF]

We prove that there is no nontrivial $L^2$-integrable harmonic 1-form on noncompact complete gradient steady Ricci solitons or noncompact complete gradient shrinking Kähler-Ricci solitons.
Zhang, Xi, Wu, Di, He, Chenghong
core   +1 more source