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Impact of Solitonic Structures on Kählerian Norden Space-Times

Axioms
This manuscript investigates conformal η-Ricci–Yamabe solitons of type (κ,l) on Kählerian Norden space-time admitting a Kählerian Norden torse-forming vector field.
Sahar H. Nazra +3 more
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Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

Mathematics
In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Yanlin Li, Aydin Gezer, Erkan Karakas
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DEFORMATION OF SASAKIAN METRIC AS A YAMABE SOLITON

Facta Universitatis, Series: Mathematics and Informatics
In this paper we investigate Yamabe solitons on deformed Sasakian manifolds. We proved that the Yamabe soliton constant is invariant under new deformation of contact manifolds that deforms metric and structure tensor simultaneously. Further we show that the scalar curvature is equal to the soliton constant and potential vector field of Yamabe soliton ...
Prabhakar, M., Nagaraja, H. G.
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A note on compact CR Yamabe solitons

Journal of Geometry and Physics, 2015
In this paper, we show that the Webster scalar curvature of any compact CR Yamabe soliton must be constant.
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Symmetry and pseudosymmetry properties with Ricci soliton of the Reissner-Nordström-de Sitter spacetime

Nuclear Physics B
The primary objective of the article is to investigate the symmetry and pseudosymmetry properties of the Reissner-Nordström-de Sitter (briefly, RNdS) spacetime. The secondary aim of the paper is to explore the notion of Ricci solitons in RNdS spacetimes.
Absos Ali Shaikh, Kamiruzzaman
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On complete Finslerian Yamabe solitons

Differential Geometry and its Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Bidabad, M. Yar Ahmadi
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On the Existence and Classification of k-Yamabe Gradient Solitons

The Journal of Geometric Analysis
In this paper we classify rotationally symmetric conformally flat admissible solitons to the $k$-Yamabe flow, a fully non-linear version of the Yamabe flow. For $n\geq 2k$ we prove existence of complete expanding, steady and shrinking solitons and describe their asymptotic behavior at infinity.
Maria Fernanda Espinal, Mariel Sáez
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Disaffinity Vectors on a Riemannian Manifold and Their Applications

Mathematics
A disaffinity vector on a Riemannian manifold (M,g) is a vector field whose affinity tensor vanishes. In this paper, we observe that nontrivial disaffinity functions offer obstruction to the topology of M and show that the existence of a nontrivial ...
Sharief Deshmukh, Amira Ishan, Bang-Yen Chen +2 more
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Some Geometric Properties of Lorentzian $\beta$-Kenmotsu Manifolds Admitting $\eta$-Ricci-Yamabe Solitons

Communications in Advanced Mathematical Sciences
In this paper, we investigate the characterization of Lorentzian $\beta $-Kenmotsu manifolds admitting $\eta$-Ricci-Yamabe solitons. First, we examine the cases where such manifolds are Ricci pseudosymmetric and Ricci semisymmetric.
Mehmet Atçeken, Tuğba Mert
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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 +2 more
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ricci soliton
mathematics
gradient yamabe soliton