Results 61 to 70 of about 240 (146)

Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton

, 2022
The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy, Santu Dey, Pengfei Zhang, Yanlin Li, Arindam Bhattacharyya   +4 more
core   +1 more source

Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group

Mathematics
We consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields
Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Mohammad Nazrul Islam Khan   +3 more
doaj   +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

Differentiable Manifolds and Geometric Structures

Mathematics
This editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo ...
Adara M. Blaga
doaj   +1 more source

Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons

Mathematics
In this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the ...
Bang-Yen Chen, Foued Aloui, Afshan Perween, Majid Ali Choudhary   +3 more
doaj   +1 more source

RICCI SOLITONS IN $\alfa$ COSYMPLECTIC MANIFOLDS

, 2018
The object of the present paper is to study Ricci solitons in \alfacosymplectic manifolds. Projective, pseudo projective and Weyl conformal curvature in an \alfa cosymplectic manifolds admitting Ricci solitons have been studied under certain curvature ...
Singh, Jay Prakash, Chawngthu, Lalmalsawma   +1 more
core   +1 more source

ON RICCI-BOURGUIGNON h-ALMOST SOLITONS IN RIEMANNIAN MANIFOLDS

, 2020
In this paper, we shall give some structure equations for RB h-almost solitons which generalize previous results for Ricci almost solitons. As a consequence of these equations we also derive an integral formula for the compact gradient RB h-almost ...
Soylu, Yasemin
core   +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

Geometry of Ricci–Bourguignon Solitons on Mixed Doubly Sequential Warped Products: Existence, Classification, and Cosmological Implications

Axioms
We investigate Ricci–Bourguignon solitons on mixed doubly sequential warped product manifolds. Necessary and sufficient conditions for the existence of such solitons are established, and their implications for Einstein manifolds are analyzed.
Ayman Elsharkawy, Anis Ben Ghorbal, Majdah Mohammed Badr, Uday Chand De   +3 more
doaj   +1 more source

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