Results 261 to 270 of about 4,268 (287)

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
openaire   +1 more source

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  

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.
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +3 more sources

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.
openaire   +1 more source

Representation of Physical Fields as Einstein Manifold

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

A generalization of a 4-dimensional Einstein manifold

Mathematica Slovaca, 2013
Yunhee Euh, Kouei Sekigawa
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, Ghosh Amalendu
exaly