搜索结果: 1-10 共查到“数学 Einstein metrics”相关记录10条 . 查询时间(0.14 秒)
Einstein metrics in projective geometry
projective differential geometry Einstein metrics conformal differential geometry
2012/7/11
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined...
On the classification of homogeneous Einstein metrics on generalized flag manifolds with $b_2(M)=1$
Homogeneous Einstein metric flag manifold second Betti number finiteness conjecture twistor fibration
2012/6/25
We study homogeneous Einstein metrics for a class of compact homogeneous spaces, namely generalized flag manifolds $G/H$ with second Betti number $b_{2}(G/H)=1$. There are 33 such manifolds which have...
Einstein metrics and Yamabe invariants of weighted projective spaces
Einstein metrics Yamabe invariants weighted projective spaces Differential Geometry
2012/6/25
An orbifold version of the Hitchin-Thorpe inequality is used to prove that certain weighted projective spaces do not admit orbifold Einstein metrics. Also, several estimates for the orbifold Yamabe in...
Warped product Einstein metrics over spaces with constant scalar curvature
Warped product Einstein metrics spaces constant scalar curvature
2011/2/21
In this paper we study warped product Einstein metrics over spaces with constant scalar curvature. We call such a manifold rigid if the universal cover of the base is Einstein or is isometric to a pro...
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...
A thermodynamical formalism for Monge-Ampere equations, Moser-Trudinger inequalities and Kahler-Einstein metrics
thermodynamical formalism Monge-Ampere equations
2010/11/23
We develop a variational calculus for a certain free energy functional on the space of all probability measures on a Kahler manifold X. This functional can be seen as a generalization Mabuchi's K-ene...
Conformally warped manifolds and quasi-Einstein metrics
Conformally warped manifolds quasi-Einstein metrics
2010/11/18
Smooth metric measure spaces have been studied from the two different perspectives of Bakry-\'Emery and Chang-Gursky-Yang, both of which are closely related to work of Perelman on the Ricci flow. The...
On Einstein metrics, normalized Ricci flow and smooth structures on $3\mathbb{CP}^2 # k \bar{\mathbb{CP}}^2$
Einstein metrics normalized Ricci flow and smooth structures
2010/11/30
Recent years have witnessed a drastic increase in our understanding of the topology and geometry of 4-manifolds and complex surfaces. The newest developments can be exemplified by the construction of ...
Bianchi type II,III and V diagonal Einstein metrics re-visited
diagonal Einstein metrics re-visited minkowskian and euclidean
2010/4/2
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the g...
Selfdual Einstein metrics and conformal submersions
Selfdual Einstein metrics conformal submersions
2010/10/29
Weyl derivatives, Weyl-Lie derivatives and conformal submersions are defined, then used to generalize the Jones-Tod correspondence between selfdual 4-manifolds with symmetry and Einstein-Weyl 3-manif...