Results 1 to 10 of about 111,827 (288)

Navigation problem and conformal vector fields [PDF]

AUT Journal of Mathematics and Computing, 2021
The navigation technique is very effective to obtain or classify a Finsler metric from a given a Finsler metric (especially a Riemannian metric) under an action of a vector field on a differential manifold.
Qiaoling Xia
doaj   +2 more sources

Closed conformal vector fields on pseudo-Riemannian manifolds [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
We give here a geometric proof of the existence of certain local coordinates on a pseudo-Riemannian manifold admitting a closed conformal vector field.
D. A. Catalano
doaj   +3 more sources

A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry

Karpatsʹkì Matematičnì Publìkacìï, 2023
The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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Conformal Vector Fields and Null Hypersurfaces

Results in Mathematics, 2022
Abstract We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field. In the first case, we obtain a result ensuring that a null hypersurface is a Killing horizon.
Cyriaque Atindogbé, Benjamín Olea
openaire   +3 more sources

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

Open Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin, Dey Santu, Pahan Sampa, Ali Akram   +3 more
doaj   +1 more source

Some Properties of Curvature Tensors and Foliations of Locally Conformal Almost Kähler Manifolds

International Journal of Mathematics and Mathematical Sciences, 2021
We investigate a class of locally conformal almost Kähler structures and prove that, under some conditions, this class is a subclass of almost Kähler structures.
Ntokozo Sibonelo Khuzwayo, Fortuné Massamba   +1 more
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Generalized Minkowski Type Integral Formulas for Compact Hypersurfaces in Pseudo-Riemannian Manifolds

Mathematics, 2023
We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
doaj   +1 more source

Bi-conformal vector fields and their applications [PDF]

Classical and Quantum Gravity, 2004
Replaced version with some changes in the terminology and a new theorem.
García-Parrado, Alfonso, Senovilla, José M. M.   +1 more
openaire   +3 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 ...
Mancho Manev
doaj   +1 more source

Symmetries of N $$ \mathcal{N} $$ = (1, 0) supergravity backgrounds in six dimensions

Journal of High Energy Physics, 2021
General N $$ \mathcal{N} $$ = (1, 0) supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) SU(2) superspace; and (ii) conformal superspace.
Sergei M. Kuzenko, Ulf Lindström, Emmanouil S. N. Raptakis, Gabriele Tartaglino-Mazzucchelli   +3 more
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