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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Metric geometric aspects of Einstein manifolds
Einstein流形 度量几何 爱因斯坦流形 黎曼几何
2023/11/29
This lecture concerns the metric Riemannian geometry of Einstein manifolds, which is a central theme in modern differential geometry and is deeply connected to a large variety of fundamental problems ...
ON THE RENORMALIZED VOLUMES FOR CONFORMALLY COMPACT EINSTEIN MANIFOLDS
THE RENORMALIZED VOLUMES CONFORMALLY COMPACT EINSTEIN MANIFOLDS
2014/4/3
We study the renormalized volume of a conformally compact Einstein manifold. In even dimenions, we derive the analogue of the Chern-Gauss-Bonnet formula incorporating the renormalized volume. When the...
ON THE RENORMALIZED VOLUMES FOR CONFORMALLY COMPACT EINSTEIN MANIFOLDS
ON THE RENORMALIZED VOLUMES CONFORMALLY COMPACT EINSTEIN MANIFOLDS
2014/4/3
We study the renormalized volume of a conformally compact Einstein manifold. In even dimenions, we derive the analogue of the Chern-Gauss-Bonnet formula incorporating the renormalized volume. When the...
Generalized quasi-Einstein manifolds with harmonic Weyl tensor
Generalized quasi-Einstein harmonic Weyl tensor
2011/2/28
In this paper we introduce the notion of generalized quasi–Einstein manifold, which
generalizes the concepts of Ricci soliton, Ricci almost soliton and quasi–Einstein manifolds. We prove that a compl...
Some triviality results for quasi-Einstein manifolds and Einstein warped products
quasi-Einstein manifolds Einstein warped products
2010/11/9
In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature. In particular we ob...
In joint work with Chen and Weber [7] , the author has elsewhere shown that CP2#2CP2 admits an Einstein metric. The present paper gives a new and rather different proof of this fact. Our results inclu...
On a class of generalized quasi-Einstein manifolds
Einstein, quasi-Einstein generalized quasi-Einstein pseudo Ricci-symmetric R-harmonic manifold
2009/3/2
In this study, we find the necessary conditions in order that
a special class of generalized quasi-Einstein manifolds to be pseudo Riccisymmetric
and R-harmonic. We also consider these type manifold...
On a class of generalized quasi-Einstein manifolds
Einstein quasi-Einstein generalized quasi-Einstein pseudo Ricci-symmetric R-harmonic manifold
2009/1/7
In this study, we find the necessary conditions in order that
a special class of generalized quasi-Einstein manifolds to be pseudo Riccisymmetric
and R-harmonic. We also consider these type manifold...