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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 ...
Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly
Addition multiplication Laplace symmetric Spaces the product space
2014/12/22
The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and o...
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...
M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
M-theory Seven-Dimensional Sasaki-Einstein Manifolds
2010/12/24
Seven-dimensional inhomogeneous Sasaki-Einstein manifolds $Y^{p,k}(KE_4)$ present a challenging example of AdS/CFT correspondence. At present, their field theory duals for $KE_4=\mathbb{CP}^2$ base ar...
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...