Results 1 to 10 of about 75,662 (204)
Remarks on Kähler-Einstein Manifolds [PDF]
Nagoya Mathematical Journal, 1972 The main purpose of this note is to characterize a compact Káhler-Einstein manifold in terms of curvature form. The curvature form Q is an EndT valued differential form of type (1,1) which represents the curvature class of the manifold. We shall prove that the curvature form of a Káhler metric is the harmonic representative of the curvature class if ...
YOZÔ MATSUSHIMA
openalex +5 more sources
Charged and Electromagnetic Fields from Relativistic Quantum Geometry [PDF]
Universe, 2016 In the recently introduced Relativistic Quantum Geometry (RQG) formalism, the possibility was explored that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian ...
Marcos R. A. Arcodía, Mauricio Bellini
doaj +5 more sources
On geometry of sub-Riemannian η-Einstein manifolds
Дифференциальная геометрия многообразий фигур, 2019 On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
doaj +2 more sources
Characterizations of Generalized Quasi-Einstein Manifolds [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We give characterizations of generalized quasi-Einstein manifolds for both even and odd ...
Sular Sibel, Özgür Cihan
doaj +2 more sources
Einstein manifolds with skew torsion [PDF]
The Quarterly Journal of Mathematics, 2012 24 pages, 1 figure, new version with erratum added at the ...
Ilka Agricola, Ana Cristina Ferreira
openalex +5 more sources
Einstein Manifolds As Yang-Mills Instantons [PDF]
Modern Physics Letters A, 2013 It is well-known that Einstein gravity can be formulated as a gauge theory of Lorentz group where spin connections play a role of gauge fields and Riemann curvature tensors correspond to their field strengths.
Donaldson S. K. +6 more
core +2 more sources
Almost Einstein and Poincare-Einstein manifolds in Riemannian signature [PDF]
Journal of Geometry and Physics, 2008 38 ...
A. Rod Gover
openalex +3 more sources
Anatomy of Einstein manifolds [PDF]
Physical Review D, 2022 v2: Title changed with improved contents, 36 pages, 4 figures, to appear in Phys.
Jongmin Park +2 more
openaire +2 more sources
$m$-quasi-$*$-Einstein contact metric manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2022 The goal of this article is to introduce and study the characterstics of $m$-quasi-$*$-Einstein metric on contact Riemannian manifolds. First, we prove that if a Sasakian manifold admits a gradient $m$-quasi-$*$-Einstein metric, then $M$ is $\eta ...
H.A. Kumara, V. Venkatesha, D.M. Naik
doaj +1 more source
A Kenmotsu metric as a conformal $\eta$-Einstein soliton
Karpatsʹkì Matematičnì Publìkacìï, 2021 The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton.
S. Roy, S. Dey, A. Bhattacharyya
doaj +1 more source