Results 101 to 110 of about 102,163 (136)

Some properties of the Yamabe soliton and the related nonlinear elliptic equation

Calculus of Variations and Partial Differential Equations, 2012
Firstly we prove the non-existence of positive radially symmetric solution of the nonlinear elliptic equation $$\frac{n-1}{m}\Delta v^m+\alpha v+\beta x\cdot \nabla u=0$$ in $$\mathbb{R }^{n}$$ when $$n\ge 3 ...
S. Hsu
semanticscholar   +2 more sources

On almost generalized gradient Ricci-Yamabe soliton

Filomat
Inthis paper, we study the geometric characterizations and classify of the Riemannian manifold with generalized gradient Ricci-Yamabe soliton or almost generalized gradient Ricci-Yamabe soliton.
Byung-Gyu Kim, Jin-Hyuk Choi, S. Lee
semanticscholar   +1 more source

Ricci almost soliton and almost Yamabe soliton on Kenmotsu manifold

, 2020
We prove that a Ricci almost soliton on a Kenmotsu manifold of dimension > 3 reduces to an expanding Ricci soliton satifying certain condition on the potential vector field or on the soliton functi...
Amalendu Ghosh
semanticscholar   +1 more source

ALMOST YAMABE SOLITON AND ALMOST RICCI-BOURGUIGNON SOLITON WITH GEODESIC VECTOR FIELDS

Matematički Vesnik
. The aim of this paper is to prove some results about almost Yamabe soliton and almost Ricci-Bourguignon soliton with special soliton vector field. In fact, we prove that every compact non-trivial almost Ricci-Bourguignon soliton with constant scalar ...
Matematiqki Vesnik, S. Azami
semanticscholar   +1 more source

A 3-DIMENSIONAL SASAKIAN METRIC AS A YAMABE SOLITON

International Journal of Geometric Methods in Modern Physics, 2012
Ramesh Sharma
exaly   +2 more sources

Yamabe and gradient Yamabe solitons on real hypersurfaces in the complex quadric

International Journal of Geometric Methods in Modern Physics, 2021
In this paper, we give a complete classification of Yamabe solitons and gradient Yamabe solitons on real hypersurfaces in the complex quadric [Formula: see text]. In the following, as an application, we show a complete classification of quasi-Yamabe and gradient quasi-Yamabe solitons on Hopf real hypersurfaces in the complex quadric [Formula: see text]
Sudhakar K. Chaubey, Hyunjin Lee, Young Jin Suh   +2 more
openaire   +1 more source

On Finslerian Warped Product Gradient Yamabe Solitons

Bulletin of the Brazilian Mathematical Society, New Series, 2022
In the present paper the authors study the Finslerian gradient Yamabe solitons on warped product manifolds. Firstly, the authors present some rigidity results related to the warping and potential functions and in order to provide nontrivial examples, they consider the warped product base as a double twisted product invariant by the action of a ...
W. Tokura, L. Adriano, R. Pina, M. Barboza   +3 more
openaire   +2 more sources

A note on almost Yamabe solitons

Glasgow Mathematical Journal, 2023
AbstractIn this paper, we present a sufficient condition for almost Yamabe solitons to have constant scalar curvature. Additionally, under some geometric scenarios, we provide some triviality and rigidity results for these structures.
openaire   +2 more sources

On the almost quasi-Yamabe solitons

International Journal of Geometric Methods in Modern Physics, 2017
In this paper, we first introduce the notion of almost quasi-Yamabe solitons and get some interesting formulas for them. Then, we explore conditions under which an almost quasi-Yamabe soliton is trivial and give some characterization results for it. Finally, we give a necessary and sufficient condition under which an arbitrary compact almost Yamabe ...
Pirhadi, Vahid, Razavi, Asadollah
openaire   +2 more sources

Geometry of gradient Yamabe solitons

Annals of Global Analysis and Geometry, 2016
Let \((M,g)\) be a complete Riemannian manifold. The Riemannian metric \(g=g_{ij}dx^idx^j\) is called a gradient Yamabe soliton if there exists a smooth function \(f:M\longrightarrow\mathbb{R}\) and a constant \(\lambda\in\mathbb{R}\) such that \[ (R-\lambda)g_{ij}=\nabla_i\nabla_jf, \] where \(R\) denotes the scalar curvature of the Riemannian metric \
Yang, Fei, Zhang, Liangdi
openaire   +1 more source