Results 11 to 20 of about 143 (108)

Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields [PDF]

Symmetry, 2021
In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints. The properties of the conformal vector fields are exploited for the purpose of establishing various necessary ...
Ali H. Alkhaldi, Laurian Ioan Piscoran, Abimbola Abolarinwa, Akram Ali   +3 more
openaire   +2 more sources

A Note on LP‐Sasakian Manifolds with Almost Quasi‐Yamabe Solitons

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
We categorize almost quasi‐Yamabe solitons on LP‐Sasakian manifolds and their CR‐submanifolds whose potential vector field is torse‐forming, admitting a generalized symmetric metric connection of type (α, β). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav, D. L. Suthar, Biniyam Shimelis, Ram Jiwari   +3 more
wiley   +8 more sources

On the structure of gradient Yamabe solitons [PDF]

Mathematical Research Letters, 2012
We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.
Cao, Huai-Dong, Sun, Xiaofeng, Zhang, Yingying   +2 more
openaire   +3 more sources

Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons

Mathematics
In this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +2 more sources

Study on Twisted Product Almost Gradient Yamabe Solitons [PDF]

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.
Byung Hak Kim, Jin Hyuk Choi, Sang Deok Lee, Antonio Masiello   +3 more
wiley   +3 more sources

Remarks on the Warped Product Structure from the Hessian of a Function

Mathematics, 2018
The warped product structure of a gradient Yamabe soliton and a Ricci soliton with a concircular potential field is proved in another way.
Jong Ryul Kim
doaj   +2 more sources

Rigidity Characterizations of Conformal Solitons

Mathematics
We study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
doaj   +2 more sources

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
doaj   +2 more sources

Existence and Physical Properties of Gradient Ricci–Yamabe Solitons

Gravitation and Cosmology
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guler, Sinem, Karaca, Fatma
openaire   +4 more sources

Gradient Ricci-Yamabe solitons on warped product manifolds [PDF]

, 2023
We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space ...
Karaca, Fatma
core   +1 more source