نتایج جستجو برای: ricci parallel tensor

تعداد نتایج: 270534  

Journal: :Proceedings of the American Mathematical Society 1995

Journal: :Differential Geometry and its Applications 2003

Journal: :American Journal of Mathematics 2005

Journal: :Proceedings of the National Academy of Sciences of the United States of America 1991
C L Pekeris K Frankowski

Using Ernst's theory of complex potentials, a solution of the coupled Einstein-Maxwell equations in oblate spheroidal coordinates is obtained for a source possessing mass, electric charge, and angular momentum. The density of the electromagnetic energy is evaluated. Explicit expressions are derived for the components of the Ricci tensor Rmunu, and of the electromagnetic energy momentum tensor E...

Journal: :Int. J. Math. Mathematical Sciences 2012
Bilal Eftal Erol Kiliç Selcen Yüksel Perktas

We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.We also investigate some properties of curvature tensor, conformal curvature tensor,W2curvature tensor, concircular curvature tensor, projective curvature tensor, and pseudo-projective curvature tensor...

2008
Ted Jacobson

The Schwarzschild metric, its Reissner-Nordstrom-de Sitter generalizations to higher dimensions, and some further generalizations all share the feature that gtt grr = −1 in Schwarzschild-like coordinates. In this pedagogical note we trace this feature to the condition that the Ricci tensor (and stress-energy tensor in a solution to Einstein’s equation) has vanishing radial null-null component, ...

Journal: :International electronic journal of geometry 2022

The object of the present paper is to study Z-symmetric manifold with projective curvature tensor. At first, we case Z-tensor and Ricci tensor being Codazzi type. Next, consider recurrent We also divergence-free Z-tensor. Finally, construct an example

Journal: :Physical review letters 2013
Metin Gürses Sigbjørn Hervik Tahsin Çağrı Şişman Bayram Tekin

We show that the recently found anti-de Sitter (AdS)-plane and AdS-spherical wave solutions of quadratic curvature gravity also solve the most general higher derivative theory in D dimensions. More generally, we show that the field equations of such theories reduce to an equation linear in the Ricci tensor for Kerr-Schild spacetimes having type-N Weyl and type-N traceless Ricci tensors.

2015
ANTONIO G. ACHE MICAH W. WARREN

We use the framework used by Bakry and Emery in their work on logarithmic Sobolev inequalities to define a notion of coarse Ricci curvature on smooth metric measure spaces alternative to the notion proposed by Y. Ollivier. This function can be used to recover the Ricci tensor on smooth Riemannian manifolds by the formula Ric(γ′ (0) , γ′ (0)) = 1 2 d ds2 Ric4g (x, γ (s)) for any curve γ(s).

2013
I Bennett Chow I Dan Knopf

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