Results 91 to 100 of about 1,179 (183)

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor.
Baishya Kanak Kanti, Chowdhury Partha Roy   +1 more
doaj   +1 more source

(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups

Axioms
We study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively.
Esmaeil Peyghan, Leila Nourmohammadifar, Akram Ali, Ion Mihai   +3 more
doaj   +1 more source

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

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

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

Ricci Tensors on Some Infinite Dimensional Lie Algebras

Journal of Functional Analysis, 1999
It is an important and delicate problem to construct the Ricci tensor on an infinite dimensional manifold and to study its properties. The author gives the corresponding construction for a free loop group and a central extension of a based loop group.
openaire   +2 more sources

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  

Surgery and positive Bakry-Émery Ricci curvature. [PDF]

Calc Var Partial Differ Equ
Reiser P, Tripaldi F.
europepmc   +1 more source