Results 81 to 90 of about 205 (141)

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
openaire   +2 more sources

Classification of gradient Yamabe soliton hypersurfaces of space forms [PDF]

, 2023
In this paper we investigate gradient Yamabe solitons, either steady or shrinking, that can be isometrically immersed into space forms as hypersurfaces that admit an upper bound on the norm of their second fundamental form.
Tokura, Willian Isao, Barboza, Marcelo Bezerra   +1 more
core   +1 more source

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, Rajeev Budhiraja, Aliya Naaz Siddiqui Diop   +2 more
doaj   +1 more source

Ricci-Bourgoignon Flow on Contact Manifolds

پژوهش‌های ریاضی, 2020
Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi, Shahroud Azami   +1 more
doaj  

The Generalized Symmetric Non-Metric Connection and Its Applications to ∗-Conformal η-Ricci–Yamabe Solitons on α-Cosymplectic Manifolds

Axioms
This paper investigates the geometric properties of ∗-conformal η-Ricci–Yamabe solitons (∗-conformal η-RYS) on α-cosymplectic manifolds (α−CSM) equipped with a newly introduced connection known as the generalized symmetric non-metric connection (GSNMC ...
Laltluangkima Chawngthu, Rajesh Kumar, Oğuzhan Bahadır, Md Aquib   +3 more
doaj   +1 more source

On rigidity and scalar curvature of Einstein-type manifolds [PDF]

, 2018
Here, the scalar curvature of an Einstein-type manifold or equivalently an almost Yamabe quasi-soliton is explicitly determined in terms of its soliton function and some rigidity theorems are obtained. Among the others its shown; if the soliton function
Mir Ahmad Mirshafeazadeh, Behroz Bidabad
core   +1 more source

Geometric structures of sequential warped products and their relations with the gradient Ricci-Yamabe solitons [PDF]

In this paper, we investigate the geometric properties of sequential warped product manifolds which is the most general concept of the warped product manifolds.
KARACA, Fatma, Guler, Sinem
core   +1 more source

Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants [PDF]

Let TM be the tangent bundle with the synectic lift on the n-dimensional Riemannian manifold M. The objective of this article is to investigate the properties of Ricci soliton and generalized Ricci-Yamabe soliton structures according to the synectic lift
Velioğlu, Hatice Vildan, GEZER, Aydın, Bilen, Lokman   +2 more
core   +1 more source

PARA-SASAKIAN MANIFOLD ADMITTING RICCI-YAMABE SOLITONS WITH QUARTER SYMMETRIC METRIC CONNECTION [PDF]

In the year 2019, Guler and Crasmareanu [6] conducted an investigation into another geometric flow known as the Ricci-Yamabe map. This map is nothing but a scalar combination of the Ricci and the Yamabe flow [7].
Siddiqui, Aliya Naaz, Budhiraja, Rajeev, Ahmad, Kamran, Vandana, .   +3 more
core   +1 more source

Classification of generalized Yamabe solitons [PDF]

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