Results 51 to 60 of about 10,189 (207)

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

About Uniqueness of Steady Ricci Schwarzschild Solitons

Axioms
In this paper, the uniqueness of steady Schwarzschild gradient Ricci solitons is studied. The role of the weight functions is analyzed. The generalized steady Schwarzschild gradient Ricci solitons are investigated; the implications of the rotational ...
Orchidea Maria Lecian
doaj   +1 more source

On moduli spaces of Ricci solitons

, 2013
We study deformations of shrinking Ricci solitons on a compact manifold M, generalising the classical theory of deformations of Einstein metrics. Using appropriate notions of twisted slices S_f inside the space of all Riemannian metrics on M, we define ...
Podesta', Fabio, Spiro, Andrea
core   +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

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

The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons [PDF]

, 2023
Stefan Ivanov, Nikola Stanchev
openalex   +1 more source

Curvature properties of \(\alpha\)-cosymplectic manifolds with \(\ast\)-\(\eta\)-Ricci-Yamabe solitons

Cubo
In this research article, we study \(\ast\)-\(\eta\)-Ricci-Yamabe solitons on an \(\alpha\)-cosymplectic manifold by giving an example in the support and also prove that it is an \(\eta\)-Einstein manifold.
Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui Diop   +2 more
doaj   +1 more source

Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds [PDF]

, 2016
Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat ...
He, Fei
core  

Convergence of Compact Ricci Solitons [PDF]

International Mathematics Research Notices, 2010
We show that sequences of compact gradient Ricci solitons converge to complete orbifold gradient solitons, assuming constraints on volume, the $L^{n/2}$-norm of curvature, and the auxiliary constant $C_1$. The strongest results are in dimension 4, where $L^2$ curvature bounds are equivalent to upper bounds on the Euler number.
openaire   +2 more sources

$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection

Ratio Mathematica
The objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions.
Abhishek Singh, Sangeeta Gautam, Lalit Kumar   +2 more
doaj   +1 more source