Results 11 to 20 of about 3,925 (113)
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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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +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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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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Extended Derdzinski-Shen theorem for the Riemann tensor [PDF]
, 2011 We extend a classical result by Derdzinski and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. The new conditions of the theorem include Codazzi tensors (i.e.
Mantica, Carlo Alberto +1 more
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A Study on Trans-para-Sasakian Manifolds
Journal of Innovative Science and EngineeringIn the current paper, we make the first contribution to investigate conditions under which three-dimensional trans-para-Sasakian manifold has η-parallel Ricci tensor and cyclic parallel Ricci tensor.
Irem KUPELI ERKEN, Mustafa OZKAN
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Geometry of Quaternionic K\"ahler connections with torsion
, 2000 The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n).Sp(1), QKT-connection. We study the geometry of QKT-connections.
Alekseevsky +35 more
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