Results 81 to 90 of about 1,131 (182)

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

Degeneration of Shrinking Ricci Solitons [PDF]

International Mathematics Research Notices, 2010
Let $(Y,d)$ be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, $Y$ is a smooth manifold satisfying a shrinking Ricci soliton equation.
openaire   +2 more sources

Ricci solitons in Kenmotsu manifolds.

, 2012
In this paper we study Ricci solitons in Kenmotsu manifolds. We consider quasi conformal, conharmonic and projective curvature tensors in a Kenmotsu manifold admitting Ricci solitons and prove the conditions for the Ricci solitons to be shrinking, steady
Premalatha, C.R., Nagaraja, H.G.
core  

On the completeness of gradient Ricci solitons [PDF]

Proceedings of the American Mathematical Society, 2009
A gradient Ricci soliton is a triple ( M , g , f
openaire   +2 more sources

On the Topological Classification of Four-Dimensional Steady Gradient Ricci Solitons with Nonnegative Sectional Curvature

Mathematics
In this paper, we study the topology of steady gradient Ricci solitons with nonnegative sectional curvature. We apply a characterization theorem for the fundamental group of a positively curved steady gradient Ricci soliton that admits a critical point ...
Yuehan Hao
doaj   +1 more source

On steady Kähler-Ricci solitons

, 2021
In this thesis we study the existence and uniqueness of steady Kähler-Ricci solitons. We consider two classes of manifolds on which we obtain new examples of steady solitons by using different methods for each class.
Schäfer, Johannes, Schäfer, J.
core  

Some New Characterizations of Trivial Ricci–Bourguignon Solitons

Journal of Mathematics
A Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais, Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah   +4 more
doaj   +1 more source

Hyperbolic Gradient-Bourgoignon Flow

پژوهش‌های ریاضی, 2022
Introduction ‎Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s‎. ‎In the last two decades‎, ‎a lot of researchers have been done on Ricci solitons‎.
Hamed Faraji, Shahroud Azami, Ghodratallah Fasihi-Ramandi   +2 more
doaj  

Notes on Ricci Solitons in f-Cosymplectic Manifolds

, 2017
The purpose of the article is to study an f-cosymplectic manifold M admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on f-cosymplectic manifolds. One is the class of contact Ricci solitons.
Chen, X.
core   +1 more source

Recent Progress on Ricci Solitons

, 2009
Ricci solitons are natural generalizations of Einstein metrics. They are also special solutions to Hamilton\u27s Ricci flow and play important roles in the singularity study of the Ricci flow.

core