Results 281 to 290 of about 491,567 (321)

Compact gradient $$\rho$$-Einstein soliton is isometric to the Euclidean sphere

Indian journal of pure and applied mathematics, 2020
In this paper we have investigated some aspects of gradient $\rho$-Einstein Ricci soliton in a complete Riemannian manifold. First, we have proved that the compact gradient $\rho$-Einstein soliton is isometric to the Euclidean sphere by showing that the ...
A. Shaikh, C. Mondal, P. Mandal
semanticscholar   +1 more source

Universal Maslov class of a Bohr-Sommerfeld Lagrangian embedding into a pseudo-Einstein manifold

, 2006
We show that in the case of a Bohr-Sommerfeld Lagrangian embedding into a pseudo-Einstein symplectic manifold, a certain universal 1-cohomology class, analogous to the Maslov class, can be defined.
N. Tyurin
semanticscholar   +1 more source

Kähler–Einstein metrics along the smooth continuity method

Geometric and Functional Analysis, 2015
We show that if a Fano manifold M is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then M admits a Kähler–Einstein metric.
V. Datar, Gábor Székelyhidi
semanticscholar   +2 more sources

On Einstein Hermitian manifolds [PDF]

Monatshefte für Mathematik, 2007
We show that every compact Einstein Hermitian surface with constant *–scalar curvature is a Kahler surface. In contrast to the 4-dimensional case, it is shown that there exists a compact Einstein Hermitian (4n + 2)-dimensional manifold with constant *–scalar curvature which is not Kahler.
openaire   +1 more source

Kähler-Einstein metric on an open algebraic manifold

, 1984
In [10], S.-T. Yau proved that if M is a compact complex manifold with negative first Chern class, then there is a unique Kahler-Einstein metric with negative Ricci curvature up to a constant multiple.
R. Kobayashi
semanticscholar   +1 more source

Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold

, 2001
Given a compact Kahler manifold M and a connected reductive algebraic group G over [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /], a prinlcipal G -bundle over M admits an Einstein-Hermitian connection if and only if the ...
Boudjemâa Anchouche, I. Biswas
semanticscholar   +1 more source

On quasi Einstein manifolds

Periodica Mathematica Hungarica, 2004
In this paper we give some examples of a quasi Einstein manifold (QE)n. Next we prove the existence of (QE)n manifolds. Then we study some properties of a quasi Einstein manifold. Finally the hypersurfaces of a Euclidean space have been studied.
Uday Chand De, Gopal Chandra Ghosh
openaire   +2 more sources

An Einstein-like metric on almost Kenmotsu manifolds

, 2017
In this paper, we obtain that if the metric of a three dimensional $(k,\mu)'$-almost Kenmotsu manifold satisfies the Miao-Tam critical condition, then the manifold is locally isometric to either the hyperbolic space $\mathbb{H}^3(-1)$ or the Riemannian ...
Yaning Wang, Wenjie Wang
semanticscholar   +1 more source

Generalized Einstein manifolds

Journal of Geometry and Physics, 1995
A Finslerian manifold is called a generalized Einstein manifold (GEM) if the Ricci directional curvature R(u,u) is independent of the direction. Let F0(M, gt) be a deformation of a compact n-dimensional Finslerian manifold preserving the volume of the unitary fibre bundle W(M). We prove that the critical points g0 ∈ F0(gt) of the integral I(gt) on W(M)
openaire   +2 more sources