Results 41 to 50 of about 550 (112)

Solitons for the inverse mean curvature flow [PDF]

, 2015
We investigate self-similar solutions to the inverse mean curvature flow in Euclidean space. In the case of one dimensional planar solitons, we explicitly classify all homothetic solitons and translators.
Drugan, Gregory, Lee, Hojoo, Wheeler, Glen   +2 more
core   +3 more sources

Rigidity Characterizations of Conformal Solitons

Mathematics
We study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
doaj   +1 more source

Homogeneous Cotton solitons

, 2013
Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in the Riemannian and Lorentzian homogeneous ...
Calviño-Louzao, E., Hervella, L. M., Seoane-Bascoy, J., Vázquez-Lorenzo, R.   +3 more
core   +1 more source

Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow

, 2012
We prove several differential Harnack inequalities for positive solutions to nonlinear backward heat equations with different potentials coupled with the Ricci flow.
Aronson, Cheng, Chow, Chow, Chow, Chow, Chow, Chung, Hamilton, Hamilton, Hamilton, Hsu, Jia-Yong Wu, Ni, Yau, Yau   +15 more
core   +1 more source

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source

Riemann Solitons on Homogeneous Siklos Spacetimes

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari, Amirhesam Zaeim, Adele Alemahdi, Erhan Güler   +3 more
wiley   +1 more source

On almost generalized gradient Ricci-Yamabe soliton

Filomat
Inthis paper, we study the geometric characterizations and classify of the Riemannian manifold with generalized gradient Ricci-Yamabe soliton or almost generalized gradient Ricci-Yamabe soliton. In addition, theorems were obtained to construct a model space with gradient Ricci-Yamabe soliton, general-ized gradient Ricci-Yamabe soliton, almost gradient ...
Byung Moon Kim, Jin Hyuk Choi, Sang Lee
openalex   +3 more sources

Ricci‐Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This article concerns with the investigation of Ricci‐Bourguignon solitons and gradient Ricci‐Bourguignon solitons in perfect fluid space‐times and generalised Robertson–Walker space‐times. First, we deduce the criterion for which the Ricci‐Bourguignon soliton in a perfect fluid space‐time is steady, expanding or shrinking. Then, we establish that if a
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li, Pramita Mishra   +4 more
wiley   +1 more source

Gap Theorems for Locally Conformally Flat Manifolds [PDF]

, 2015
In this paper, we prove a gap result for a locally conformally flat complete non-compact Riemannian manifold with bounded non-negative Ricci curvature and a scalar curvature average condition.
Ma, Li
core  

Mean Curvature Flow on Ricci Solitons

, 2010
We study monotonic quantities in the context of combined geometric flows. In particular, focusing on Ricci solitons as the ambient space, we consider solutions of the heat type equation integrated over embedded submanifolds evolving by mean curvature ...
Bakas I, Cao H D Zhu X P, Chow B, Efstratios Tsatis, Fateev V A Onofri E, Hamilton R, Huisken G, Kleiner B Lott J, Mantegazza C Magni A Tsatis E, Morgan J Tian G, Ni L, Perelman G, Perelman G, Perelman G, Zamolodchikov A B, Zamolodchikov A B   +15 more
core   +1 more source