Results 71 to 80 of about 2,953 (146)
On energy functionals, Kähler–Einstein metrics, and the Moser–Trudinger–Onofri neighborhood
, 2008 We prove that the existence of a Kähler–Einstein metric on a Fano manifold is equivalent to the properness of the energy functionals defined by Bando, Chen, Ding, Mabuchi and Tian on the set of Kähler metrics with positive Ricci curvature.
Rubinstein, Yanir A.
core +1 more source
Canonical Kähler metrics with cone singularities
, 2014 This dissertation consists of some results on the existence and regularity of canonical Kähler metrics with cone singularities. First, a much shorter proof is provided for a result of H. Guenancia and M.
core +1 more source
Non-Kähler expanding Ricci solitons, Einstein metrics, and exotic cone structures
, 2014 We consider complete multiple warped product type Riemannian metrics on manifolds of the form R2 × M2 × · · · × Mr, where r ≥ 2 and Mi are arbitrary closed Einstein spaces with positive scalar curvature.
Buzano, M +5 more
core +1 more source
A new variational method for finding Einstein metrics on compact Kähler manifolds, I
, 1988 Let X be a compact Kähler manifold of complex dimension m. One knows that the determination of Einstein-Kähler metrics on X can be reduced to the solution of complex Monge-Ampère equations, depending on the sign of the first Chern class of X.
Berger, M.S, Cherrier, P
core +1 more source
, 1996 Given a principal circle bundle with a nontrivial connection over a compact Kähler manifold, there is a Riemannian metric on the bundle by horizontal lift of the metric from the base.
Wang, Jun
core
From G₂ geometry to quaternionic Kähler metrics
, 2015 International audienceWe review a construction of quaternionic Kähler metrics starting from a rank 2 distribution in 5 dimensions. We relate it to a more general theory about Einstein deformations of symmetric metrics.
Biquard, Olivier
core +1 more source
On rigidity of quasi-Einstein metrics
, 2017 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESIn this work, we will present some concepts of quasi-Einstein metrics. From this, we will enunciate and demonstrate rigidity results for quasi-Einstein metrics until we have enough ...
Borges, Laena Furtado
core
Einstein metrics on tangent bundles of spheres
, 2002 We give an elementary treatment of the existence of complete Kähler–Einstein metrics with nonpositive Einstein constant and underlying manifold diffeomorphic to the tangent bundle of the (n + 1 ...
Strachan, IAB +3 more
core +1 more source
Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature. [PDF]
Proc Natl Acad Sci U S A, 1989 Nadel AM.
europepmc +1 more source