Results 51 to 60 of about 342 (113)

CERTAIN RESULTS OF RICCI-YAMABE SOLITONS ON $(LCS)_N$-MANIFOLDS [PDF]

, 2022
The goal of this paper is to characterize Lorentzian concircular structure manifolds (briefly, $(LCS)_n$-manifolds) admitting Ricci-Yamabe solitons.
Singh, Jay Prakash, Zosangzuala, Chhakchhuak   +1 more
core   +1 more source

Cosmological perfect-fluids in f(R) gravity [PDF]

, 2018
We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model.
Capozziello, Salvatore, Mantica, Carlo Alberto, Molinari, Luca Guido   +2 more
core   +2 more sources

DIFFEOMORPHISM OF AFFINE CONNECTED SPACES WHICH PRESERVED RIEMANNIAN AND RICCI CURVATURE TENSORS [PDF]

, 2017
Organ size regulation is dependent on the precise spatial and temporal regulation of cell proliferation and cell expansion. A number of transcription factors have been identified that play a key role in the determination of aerial lateral organ size, but
Bacso, Sandor, Berezovski, Volodymyr, Mikes, Josef   +2 more
core   +6 more sources

On a class of exact locally conformal cosymlectic manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 267-278, 1996., 1994
An almost cosymplectic manifold M is a (2m + 1)‐dimensional oriented Riemannian manifold endowed with a 2‐form Ω of rank 2m, a 1‐form η such that Ωm Λ η ≠ 0 and a vector field ξ satisfying iξΩ = 0 and η(ξ) = 1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
wiley   +1 more source

Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]

Journal of Hyperstructures
In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
doaj   +1 more source

On the Potential Vector Fields of Soliton-Type Equations

Axioms
We highlight some properties of a class of distinguished vector fields associated to a (1,1)-tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to ...
Adara M. Blaga
doaj   +1 more source

Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti, Soumendu Roy, Santu Dey, Fatemah Mofarreh, Akram Ali, Yanlin Li, Francisco J. Garcia-Pacheco   +6 more
wiley   +1 more source

η-Ricci solitons in (ε)-almost paracontact metric manifolds [PDF]

, 2018
The object of this paper is to study η -Ricci solitons on ( ε ) -almost paracontact metric manifolds. We investigate η -Ricci solitons in the case when its potential vector field is exactly the characteristic vector field ξ of the ( ε ) -almost ...
Adara Monica Blaga, Bilal Eftal Acet, Feyza Esra Erdoğan, Selcen Yüksel Perktaş   +3 more
core   +2 more sources

The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav, Sameh Shenawy, Nasser Bin Turki, Rajendra Prasad, Mohammad Mirzazadeh   +4 more
wiley   +1 more source

On the Invariant Theory of Weingarten Surfaces in Euclidean Space

, 2008
We prove that any strongly regular Weingarten surface in Euclidean space carries locally geometric principal parameters. The basic theorem states that any strongly regular Weingarten surface is determined up to a motion by its structural functions and ...
Baran H, Baran H Marvan M, Bonnet O, Bonnet O, Bryant R, Eisenhart L, Enneper A, Enneper A, Enneper A, Finkel F, Georgi Ganchev, Gray A, Kenmotsu K, Kruppa E, Serret J, Sturm C, Sturm C, Sturm C, Vesselka Mihova, von Lilienthal R   +19 more
core   +2 more sources