Results 31 to 40 of about 431,181 (185)
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 ...
openaire +4 more sources
Einstein manifolds and contact geometry [PDF]
Proceedings of the American Mathematical Society, 2001 We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Boyer, Charles P., Galicki, Krzysztof
openaire +2 more sources
Homogeneous Einstein manifolds
Revista de la Unión Matemática Argentina, 2023 A Riemannian manifold is said to be Einstein if it has constant Ricci curvature, i.e., if its metric \(g\) satisfies Ric\(_g=cg\). When working in a homogeneous space, this condition turns into a collection of algebraic equations. Despite this apparent simplicity, the study of homogeneous Einstein manifolds turns out to be very involved and is, up to ...
openaire +1 more source
Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
doaj +1 more source
, 2002 On an asymptotically hyperbolic Einstein manifold ( M , g 0 ) for which the Yamabe invariant of the conformal structure on the boundary at infinity is nonnegative, we show that the operators of Ricci curvature, and of Einstein curvature, are locally ...
E. Delay
semanticscholar +1 more source
Escobar–Yamabe compactifications for Poincaré–Einstein manifolds and rigidity theorems [PDF]
Advances in Mathematics, 2017 Let $(X^{n},g_+) $ $(n\geq 3)$ be a Poincare-Einstein manifold which is $C^{3,\alpha}$ conformally compact with conformal infinity $(\partial X, [\hat{g}])$.
Xuezhang Chen, Mijia Lai, Fang Wang
semanticscholar +1 more source
Einstein almost cok��hler manifolds
, 2014 We study an odd-dimensional analogue of the Goldberg conjecture for compact Einstein almost K hler manifolds. We give an explicit non-compact example of an Einstein almost cok hler manifold that is not cok hler. We prove that compact Einstein almost cok hler manifolds with non-negative $*$-scalar curvature are cok hler (indeed, transversely Calabi-
CONTI, DIEGO, Fernández, M.
openaire +4 more sources
On conformally Kähler, Einstein manifolds [PDF]
Journal of the American Mathematical Society, 2008 We prove that any compact complex surface with c 1 > 0 c_1>0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blow-up C P 2
Chen, Xiuxiong +2 more
openaire +3 more sources
Generalized Quasi-Einstein Manifolds in Contact Geometry
Mathematics, 2020 In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
doaj +1 more source
Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
doaj +1 more source