Results 71 to 80 of about 143 (108)

Complete steady gradient Yamabe solitons with positive scalar curvature are rotationally symmetric

In this paper, we solve the Yamabe soliton version of the Perelman conjecture. We show that any nontrivial complete steady gradient Yamabe solitons with positive scalar curvature are rotationally symmetric.Comment: 4 ...
Maeta, Shun
core   +1 more source

Some properties of hyperbolic Yamabe solitons

We define the hyperbolic Yamabe flow and we obtain some properties of its stationary solutions, namely, of hyperbolic Yamabe solitons. We also consider immersed submanifolds as hyperbolic Yamabe solitons and we prove that, under certain assumptions, a ...
Blaga, Adara M., Özgür, Cihan
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Classification of generalized Yamabe solitons

In this paper, we consider generalized Yamabe soliton version of the Perelman's conjecture. We consider complete gradient conformal solitons and classify them.
Maeta, Shun
core   +1 more source

Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons. [PDF]

Heliyon
De K, Khan MNI, De UC.
europepmc   +1 more source

Remarks on Yamabe Soliton and Gradient Yamabe Soliton

Bulgarian Journal of Physics
openaire   +1 more source

EINSTEIN-LIKE SEQUENTIAL WARPED PRODUCT MANIFOLDS WITH GRADIENT RICCI-YAMABE SOLITON

KARACA, FATMA, ÇİFTÇİ, İREM, AR, ENES   +2 more
core  

The Existence of Gradient Yamabe Solitons on Spacetimes

Results in Mathematics, 2022
The authors investigate the existence of the non-trivial gradient Yamabe soliton on generalized Robertson-Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. The most remarkable results concern gradient Yamabe solitons on pp-wave spacetimes (see Section 3.5).
Sinem GÜLER
exaly   +5 more sources

A note on compact gradient Yamabe solitons

Journal of Mathematical Analysis and Applications, 2012
We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.
Shu-Yu Hsu
exaly   +4 more sources

A note on gradient k-Yamabe solitons

Annals of Global Analysis and Geometry, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio W Cunha, Eudes L de Lima, Cunha Antonio W   +2 more
exaly   +2 more sources

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