Results 1 to 10 of about 553,030 (359)
A Kenmotsu metric as a conformal $\eta$-Einstein soliton [PDF]
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
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The spectrum of an asymptotically hyperbolic Einstein manifold [PDF]
, 1994 This paper relates the spectrum of the scalar Laplacian of an asymptotically hyperbolic Einstein metric to the conformal geometry of its ``ideal boundary'' at infinity. It follows from work of R. Mazzeo that the essential spectrum of such a metric on an $
John M. Lee
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A generalization of a 4-dimensional Einstein manifold [PDF]
arXiv, 2010 A weakly Einstein manifold is a generalization of a 4-dimensional Einstein manifold, which is defined as an application of a curvature identity derived from the generalized Gauss-Bonnet formula for a 4-dimensional compact oriented Riemannian manifold. In this paper, we shall give a characterization of a weakly Einstein manifold.
Y. Euh, JeongHyeong Park, K. Sekigawa
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On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2021 The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
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Einstein Manifolds and Contact Geometry [PDF]
Proceedings of the American Mathematical Society, 1999 We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Charles P. Boyer, Krzysztof Galicki
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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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
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Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
International Journal of Mathematics and Mathematical Sciences, 2003 The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
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On Einstein equations on manifolds and supermanifolds [PDF]
Journal of Nonlinear Mathematical Physics, 2003 The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M becomes the Grassmannian $Gr_{2}^{4}$ of 2-dimensional subspaces in the 4-dimensional complex one.
Dimitry Leites +2 more
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Geometry of generalized Einstein manifolds [PDF]
Comptes Rendus. Mathématique, 2004 Abstract A formula linking the horizontal Laplacian Δ ¯ φ of a function φ on the fibre bundle W of unitary tangent vectors to a Finslerian compact manifold without boundary ( M , g ) , to the square of a symmetric 2-tensor and Finslerian curvature.
H. Akbar-Zadeh
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