Results 51 to 60 of about 144 (107)

Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β)

Mathematics
In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine the hyperbolic
Fatemah Mofarreh, Mohd Danish Siddiqi
doaj   +1 more source

Concircular Vector Fields on Radical Anti-Invariant Lightlike Hypersurfaces of Almost Product-like Statistical Manifolds

Symmetry, 2023
The motivation of the present study is to describe the main relations of the radical anti-invariant lightlike hypersurfaces of almost product-like statistical manifolds. We provide concircular vector fields on radical anti-invariant lightlike hypersurfaces and obtain some results involving these vector fields.
openaire   +1 more source

A link between torse-forming vector fields and rotational hypersurfaces

, 2017
Torse-forming vector fields introduced by Yano [On torse forming direction in a Riemannian space, Proc. Imp. Acad. Tokyo 20 (1944) 340–346] are natural extension of concurrent and concircular vector fields.
Leopold Verstraelen, Bang-Yen Chen
core   +1 more source

Gradient Expanding Ricci Solitons Type Inequalities on Submanifolds in Quaternion Kaehler Manifolds with Bi-Slant Factor

Mathematics
In this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
doaj   +1 more source

Geodesic mappings and concircular vector fields

, 2019
12 ...
openaire   +2 more sources

A note on generalized Robertson-Walker space-times

, 2016
A generalized Robertson-Walker (GRW) space-time is the generalization of the classical Robertson-Walker space-time. In the present paper, we show that a Ricci simple manifold with vanishing divergence of the conformal curvature tensor admits a proper ...
Uday Chand De, Young Jin Suh, Carlo Alberto Mantica   +2 more
core   +1 more source

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Generalized Conformal Killing Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
The subject of this study is almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds. The considerations are restricted to a special class of these manifolds, namely those of the Sasaki-like type, because of their ...
Mancho Manev
doaj   +1 more source

From infinitesimal harmonic transformations to Ricci solitons [PDF]

, 2013
summary:The concept of the Ricci soliton was introduced by R. S. Hamilton. The Ricci soliton is defined by a vector field and it is a natural generalization of the Einstein metric.
Mikeš, Josef, Tsyganok, Irina I., Stepanov, Sergey E.   +2 more
core   +1 more source

Solitonic aspects of submanifolds in Kenmotsu statistical manifolds

, 2023
The differential geometry of Kenmotsu manifold is a valuable part of contact geometry with nice applications in other fields such as theoretical physics.
Siddiqui, Aliya Naaz, Siddiqi, Mohd. Danish   +1 more
core  

Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]

, 2016
summary:We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pm \omega )$ with constant scalar curvature is either Einstein, or the dual field of $\omega $ is Killing.
Ghosh, Amalendu
core   +1 more source