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Semi-reducible pseudo-Riemannian spaces with additional conditions

open access: yesPracì 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   +2 more
doaj   +1 more source

Some consequences of the Kerr–Schild gauge

open access: yesEuropean 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

open access: yesExtracta 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  

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