Results 21 to 30 of about 4,558 (149)
Affine Dynamics with Torsion [PDF]
, 2016 In this study, we give a thorough analysis of a general affine gravity with torsion. After a brief exposition of the affine gravities considered by Eddington and Schr\"{o}dinger, we construct and analyze different affine gravities based on the ...
Gultekin, Kemal
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A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold
Journal of Nonlinear Mathematical Physics, 2022 We study conformal $$\eta$$ η -Einstein solitons on the framework of trans-Sasakian manifold in dimension three. Existence of conformal $$\eta$$ η -Einstein solitons on trans-Sasakian manifold is discussed. Then we find some results on trans-Sasakian
Yanlin Li +4 more
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Cyclic homogeneous Riemannian manifolds [PDF]
, 2014 In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of
Gadea, P. M. +2 more
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Purely Magnetic Spacetimes [PDF]
, 1995 Purely magnetic spacetimes, in which the Riemann tensor satisfies $R_{abcd}u^bu^d=0$ for some unit timelike vector $u^a$, are studied. The algebraic consequences for the Weyl and Ricci tensors are examined in detail and consideration given to the ...
Barry M. Haddow, Misra R. M.
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Study of Kenmotsu manifolds with semi-symmetric metric connection
Universal Journal of Mathematics and Applications, 2018 The present paper deals with the study of Kenmotsu manifolds equipped with a semi-symmetric metric connection. The properties of $\eta-$parallel Ricci tensor, globally symmetric and $\phi-$symmetric Kenmotsu manifolds with the semi-symmetric metric ...
Sudhakar Chaubey, Sunil Kr Yadav
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Area metric gravity and accelerating cosmology [PDF]
, 2006 Area metric manifolds emerge as effective classical backgrounds in quantum string theory and quantum gauge theory, and present a true generalization of metric geometry. Here, we consider area metric manifolds in their own right, and develop in detail the
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On the relation between the Einstein field equations and the Jacobi–Ricci–Bianchi system [PDF]
, 2013 The 1 + 3 covariant equations, embedded in an extended tetrad formalism and describing a spacetime with an arbitrary energy–momentum distribution, are reconsidered.
Van den Bergh, Norbert
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Curvature properties of Robinson–Trautman metric [PDF]
Journal of Geometry, 2017 The curvature properties of Robinson–Trautman metric have been investigated. It is shown that Robinson–Trautman metric is a Roter type metric, and in a consequence, admits several kinds of pseudosymmetric type structures such as Weyl pseudosymmetric ...
A. Shaikh, Musavvir Ali, Z. Ahsan
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η-Ricci Solitons on Quasi-Sasakian Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 The object of the present paper is to study η-Ricci solitons in a 3-dimensional non-cosymplectic quasi-Sasakian manifolds. We study a particular type of second order parallel tensor in this manifold.
Ghosh Sujit
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The twistor space of a quaternionic contact manifold [PDF]
, 2010 We show that the CR structure on the twistor space of a quaternionic contact structure described by Biquard is normal if and only if the Ricci curvature of the Biquard connection commutes with the endomorphisms in the quaternionic structure of the ...
Davidov, Johann +2 more
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