Results 11 to 20 of about 252 (77)

Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors [PDF]

General Relativity and Gravitation, 2017
Robertson-Walker and Generalized Robertson-Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains.
Mantica, Carlo Alberto, Molinari, Luca Guido   +1 more
core   +4 more sources

On torse-forming vector fields and their applications in submanifold theory

Filomat, 2023
The present article utilises a property of torse-forming vector fields to deduce some criteria for invariant submanifolds of Riemannian manifolds to be totally geodesic. Certain features of submanifolds of Riemannian manifolds as ?-Ricci Bourguignon soliton have been developed.
Avijit Sarkar, Uday De, Suparna Halder
openaire   +3 more sources

Yamabe Solitons with potential vector field as torse forming [PDF]

Cubo (Temuco), 2018
Summary: The Riemannian manifolds whose metric is a Yamabe soliton with torse forming potential vector field admitting a Riemannian connection, a semisymmetric metric connection and a projective semisymmetric connection are studied. An example is constructed to verify the theorem concerning Riemannian connection.
ChandraMandal, Yadab, Kumar Hui, Shyamal
openaire   +5 more sources

Torse forming vector fields and exterior concurrent vector fields on Riemannian manifolds and applications

Journal of Geometry and Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai, Adela, Mihai, Ion
openaire   +4 more sources

Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field [PDF]

Afrika Matematika, 2019
In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field are discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field are determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.
null Venkatesha, H. Aruna Kumara
openaire   +4 more sources

Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field

Axioms, 2023
A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an almost-contact B-metric manifold), which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
openaire   +5 more sources

ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS

Demonstratio Mathematica, 1985
The following theorem is proved: If in a Riemannian manifold (M,g) with dim \(M\geq 4\) the covariant derivative \(R_{ij,k}\) of the Ricci tensor is symmetric in all indices, if \(R_{ij}[\ell m]=0\), and if there exists a vector field \(v_ i\) such that \(v_{i,j}=Fg_{ij}+A_ jv_ i\) with a certain scalar field F and a vector field \(A_ j\) (i.e.
openaire   +4 more sources

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   +3 more sources

MYLLER CONFIGURATIONS IN FINSLER SPACES. APPLICATIONS TO THE STUDY OF SUBSPACES AND OF TORSE FORMING VECTOR FIELDS [PDF]

Journal of the Korean Mathematical Society, 2008
In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let F n =(M, F ) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle (π∗TM, π, TM) of the tangent bundle (TM, π, M) by the mapping π = π/TM and the Cartan ...
Oana A Constantinescu
openaire   +3 more sources

Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb, Meraj Ali Khan, Antonio Scarfone   +2 more
wiley   +1 more source