Results 61 to 70 of about 5,783 (167)

Conformally Flat Siklos Metrics Are Ricci Solitons

Axioms, 2020
We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso
doaj   +1 more source

All two‐dimensional expanding Ricci solitons

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley   +1 more source

Topology of Kähler Ricci solitons

Journal of Differential Geometry, 2015
We prove that any shrinking Kahler Ricci soliton has only one end, and that any expanding Kahler Ricci soliton with proper potential has only one end.
Munteanu, Ovidiu, Wang, Jiaping
openaire   +3 more sources

On Moduli Spaces of Ricci Solitons [PDF]

The Journal of Geometric Analysis, 2013
18 ...
PODESTA', FABIO, Andrea Spiro
openaire   +2 more sources

On gradient Ricci solitons with symmetry [PDF]

Proceedings of the American Mathematical Society, 2009
We study gradient Ricci solitons with maximal symmetry. First we show that there are no nontrivial homogeneous gradient Ricci solitons. Thus, the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed.
Petersen, Peter, Wylie, William
openaire   +2 more sources

A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton   without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
doaj   +1 more source

Almost Pure Metric Plastic Structures and Ricci Solitons on Four‐Dimensional Pseudo‐Riemannian Manifolds

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates four‐dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures. We begin by defining these structures through characteristic algebraic identities and present explicit matrix realizations that capture their essential geometric features.
Aydin Gezer, Sedanur Ucan, Cagri Karaman, Abdul Rauf Khan   +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

∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds

International Journal of Analysis and Applications, 2021
The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
doaj  

Conformal Ricci soliton in Sasakian manifolds admitting general connection [PDF]

Journal of Hyperstructures
The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection ...
Raghujyoti Kundu, Ashoke Das, Ashis Biswas   +2 more
doaj   +1 more source