Results 251 to 260 of about 75,961 (279)

Generalized Einstein manifolds

Journal of Geometry and Physics, 1995
The geometrization of physics, especially regarding the equations of electromagnetism and gravitation in general relativity, has been a vital problem of investigation for a long time. A. Einstein himself devoted the last several years of his life to realize this dream without success. However, taking grant of two axioms proposed by \textit{D. Hilbert} [
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On Einstein Hermitian manifolds

Monatshefte für Mathematik, 2007
The author shows that every compact Einstein Hermitian surface with constant *-scalar curvature is Kähler. The *-scalar curvature is the trace of the *-Ricci tensor that measures how far the structure is from being Kähler. When the dimension is \(4n+2\), the author gives an example of an Einstein Hermitian manifold with constant *-scalar curvature that
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Compact standard periodic einstein manifolds

Siberian Mathematical Journal, 1992
A Riemannian manifold \(M\) with a metric \(g\) is Einstein if its metric \(g\) satisfies the equation: \(\text{Ric}(g)=Cg\), where Ric is the Ricci tensor of \(M\) and \(C\) is a constant. Let \(G\) be a connected, compact simple Lie group and \(H\) its closed simple subgroup with \(G/H\) simply connected. The homogeneous Riemannian metric induced on \
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A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold

Journal of Nonlinear Mathematical Physics, 2022
Yanlin Li, Santu Dey, Arindam Bhattacharyya   +2 more
exaly  

Einstein Manifolds and Topology

1987
Which compact manifolds do admit an Einstein metric? Except in dimension 2 (see Section B of this chapter), a complete answer to this question seems out of reach today. At least, in dimensions 3 and 4, we can single out a few manifolds which definitely do not admit any Einstein metric.
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On an Einstein projective Sasakian manifold

2006
The author proves that a projectively flat Sasakian manifold is an Einstein manifold. Besides, if an Einstein-Sasakian manifold is projectively flat, then it is locally isometric with a unit sphere \(S^n(1)\). Finally, if in an Einstein-Sasakian manifold the relation \(K(X,Y)\cdot P = 0\) holds, then it is projectively flat.
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The Extension of Einstein Manifolds

1981
Of the many mathematical problems connected with general relativity, the extension problem has been chosen for discussion in this chapter, because it is concerned with the global geometrical and topological properties of Einstein manifolds, and those properties seem to me to constitute the most basically mathematical aspect of the theory.
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A generalization of a 4-dimensional Einstein manifold

Mathematica Slovaca, 2013
Yunhee Euh
exaly  

Characterization on mixed super quasi-Einstein manifold

Tbilisi Mathematical Journal, 2015
Sampa Pahan, Buddhadev Pal, Arindam Bhattacharyya   +2 more
exaly  

ON THE CLOSED EINSTEIN-WEYL STRUCTURE AND COMPACT K-CONTACT MANIFOLD

Bulletin of the Korean Mathematical Society, 2016
Amalendu Ghosh
exaly