Results 91 to 100 of about 1,253 (179)

Geometry of LP-Sasakian Manifolds Admitting a General Connection

Mathematics
This paper concerns certain properties of projective curvature tensor, conharmonic curvature tensor, quasi-conharmonic curvature tensor, and Ricci semi-symmetric conditions with respect to the general connection in an LP-Sasakian manifold.
Rajesh Kumar, Laltluangkima Chawngthu, Oğuzhan Bahadır, Meraj Ali Khan   +3 more
doaj   +1 more source

The non-minimal 3-form cosmology and the rise of the cuscuton

Journal of High Energy Physics
We consider the 3-form theory with non-minimal coupling to gravity in an expanding Universe. First, we assume that the background is homogeneous and isotropic, and that the three-form is coupled to both the Ricci scalar and the Ricci tensor. We show that
Antonio De Felice, Anamaria Hell
doaj   +1 more source

Some invariant theorems on geometry of Einstein non-symmetric field theory

International Journal of Mathematics and Mathematical Sciences, 1983
This paper generalizes Einstein's theorem. It is shown that under the transformation TΛ:Uikℓ→U¯ikℓ≡Uikℓ+δiℓΛk−δkℓΛi, curvature tensor Skℓmi(U), Ricci tensor Sik(U), and scalar curvature S(U) are all invariant, where Λ=Λjdxj is a closed 1 ...
Liu Shu-Lin, Xu Sen-Lin
doaj   +1 more source

Impact of Solitonic Structures on Kählerian Norden Space-Times

Axioms
This manuscript investigates conformal η-Ricci–Yamabe solitons of type (κ,l) on Kählerian Norden space-time admitting a Kählerian Norden torse-forming vector field.
Sahar H. Nazra, Sunil Kumar Yadav, Sameh Shenawy, Carlo Mantica   +3 more
doaj   +1 more source

Semi-reducible pseudo-Riemannian spaces with additional conditions

Pracì Mìžnarodnogo Geometričnogo Centru
We consider semi-reducible pseudo-Riemannian spaces with algebraic conditions on the Ricci tensor and the Riemann tensor. For almost Einstein and weakly recurrent spaces we find the type of tensor characteristic of semi-reducibility.
Yuliia Fedchenko, Oleksandr Lesechko, Yanina Marianko   +2 more
doaj   +1 more source

Some consequences of the Kerr–Schild gauge

European Physical Journal C: Particles and Fields
Generalized Kerr–Schild nilpotent deformations of an arbitrary background spacetime $$\overline{g}_{\mu \nu }(x)$$ g ¯ μ ν ( x ) are considered. Those are of the form $$\overline{g}_{\mu \nu }+l_\mu l_\nu $$ g ¯ μ ν + l μ l ν with $$l^2=0$$ l 2 = 0 . The
Enrique Álvarez, Jesús Anero
doaj   +1 more source

Ricci solitons on para-Kähler manifolds

Extracta Mathematicae, 2019
The main purpose of the paper is to study the nature of Ricci soliton on para-Kähler manifolds satisfying some certain curvature conditions. In particular, if we consider certain pseudosymmetric and parallel symmetric tensor on para-Kähler manifolds we
Sunil Kumar Yadav
doaj  

Study of η-Ricci–Yamabe Solitons and Ricci–Yamabe solitons in a Lorentzian Nearly Kähler Space-Time Manifold

Journal of Mathematics
An η-Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology.
B. B. Chaturvedi, Neha Chauhan, Mohammad Nazrul Islam Khan   +2 more
doaj   +1 more source

4+1 Gravitation in the SHP Formalism. [PDF]

Entropy (Basel)
Land M.
europepmc   +1 more source

Flows of Conformally Coclosed G 2 -Structures with Dilaton. [PDF]

J Geom Anal
Karigiannis S, Picard S, Suan C.
europepmc   +1 more source