Yamabe and gradient Yamabe solitons in the complex hyperbolic two-plane Grassmannians

YJ Suh - Reviews in Mathematical Physics, 2022 - World Scientific
First, we want to give a complete classification of Yamabe solitons and gradient Yamabe
solitons for real hypersurfaces in the complex hyperbolic two-plane Grassmannians G 2*(ℂ …

[PDF][PDF] Ricci-Bourguignon solitons and Fischer-Marsden conjecture on generalized Sasakian-space-forms with β-Kenmotsu structure

SK Chaubey, YJ Suh - J. Korean Math. Soc, 2023 - researchgate.net
Our aim is to study the properties of Fischer-Marsden conjecture and Ricci-Bourguignon
solitons within the framework of generalized Sasakian-space-forms with β-Kenmotsu …

Ricci-Bourguignon solitons on real hypersurfaces in the complex hyperbolic quadric

YJ Suh - Revista de la Real Academia de Ciencias Exactas …, 2022 - Springer
By using the property of generalized pseudo-anti commuting Ricci tensor, that is, Ric ϕ+ ϕ
Ric= f ϕ, for real hypersurfaces in the complex hyperbolic quadric Q m∗, we give a complete …

Fischer-Marsden conjecture on real hypersurfaces in the complex quadric

YJ Suh - Journal de Mathématiques Pures et Appliquées, 2023 - Elsevier
By using the notion of Fischer-Marsden Equation on real hypersurfaces in the complex
quadric Q m= SO m+ 2/SO 2 SO m, we can assert that there does not exist a non-trivial …

Real hypersurfaces with pseudo-Ricci-Bourguignon soliton in the complex two-plane Grassmannians

YJ Suh, C Woo - Journal of Geometry and Physics, 2023 - Elsevier
In this paper, we have investigated a pseudo-Ricci-Bourguignon soliton on real
hypersurfaces in the complex two-plane Grassmannian G 2 (C m+ 2). By using pseudo-anti …

Fischer–Marsden conjecture on real hypersurfaces in the complex hyperbolic two-plane Grassmannians

YJ Suh - Analysis and Mathematical Physics, 2022 - Springer
In this paper, the study of Fischer–Marsden equation on real hypersurfaces in the complex
hyperbolic two-plane Grassmannian G 2∗(C m+ 2) is first investigated. It is shown that there …

A note on some remarkable differential equations on a Riemannian manifold

S Deshmukh, H Al-Sodais, GE Vîlcu - Journal of Mathematical Analysis and …, 2023 - Elsevier
Abstract The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold
admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is …

[PDF][PDF] N (κ)-paracontact metric manifolds admitting the Fischer-Marsden conjecture

SK Chaubey, MA Khan, ASR Al Kaabi - AIMS Math, 2024 - aimspress.com
We characterize N (κ)-paracontact metric manifolds (NKPMM) M2n+ 1 satisfying the Fischer-
Marsden conjecture. We demostrate that, if an M2n+ 1 satisfies the Fischer-Marsden …

Ricci–Bourguignon solitons on real hypersurfaces in the complex hyperbolic space

YJ Suh - International Journal of Mathematics, 2023 - World Scientific
In this paper, we give a complete classification of Ricci–Bourguignon soliton on real
hypersurfaces in the complex hyperbolic space ℂ H n= SU 1, n/S (U 1 U n). Next, as an …

Characterizing small spheres in a unit sphere by Fischer–Marsden equation

N Bin Turki, S Deshmukh, GE Vîlcu - Journal of Inequalities and …, 2022 - Springer
We use a nontrivial concircular vector field u on the unit sphere S n+ 1 in studying geometry
of its hypersurfaces. An orientable hypersurface M of the unit sphere S n+ 1 naturally inherits …