Results 141 to 150 of about 2,217 (169)

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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A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold

Journal of Nonlinear Mathematical Physics, 2022
Santu Dey, Akram Ali, 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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Homogeneous Einstein and Einstein–Randers metrics on Stiefel manifolds

Mathematische Nachrichten
AbstractWe study invariant Einstein metrics and Einstein–Randers metrics on the Stiefel manifold . We use a characterization for (nonflat) homogeneous Einstein–Randers metrics as pairs of (nonflat) homogeneous Einstein metrics and invariant Killing vector fields.
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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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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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Representation of Physical Fields as Einstein Manifold

Journal of Applied Mathematics and Physics, 2023
Vu B Ho
exaly  

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

Bulletin of the Korean Mathematical Society, 2016
Amalendu Ghosh, Ghosh Amalendu
exaly  

A generalization of a 4-dimensional Einstein manifold

Mathematica Slovaca, 2013
Yunhee Euh, Kouei Sekigawa
exaly