26 citations · 62 across the 5 of their papers we have counts for
6 papers
Geometry of Kähler Metrics and Foliations by Holomorphic Discs
X. X. Chen, G. Tian
The purpose of this paper is to establish a completely new partial regularity theory on certain homogeneous complex Monge-Ampere equations. Our partial regularity theory will be ob…
A note on uniformization of Riemann surfaces by Ricci flow
Xiuxiong Chen, Peng Lu, Gang Tian
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
Geometry of Kaehler metrics and holomorphic foliation by discs
Xiuxiong Chen, Gang Tian
The purpose of this paper is to establish a partial regularity theory on certain homogeneous complex Monge-Ampere equations. As consequences of this new theory, we prove the unique…
Algebraic and Analytic K-Stability
Sean T. Paul, Gang Tian
In this note we identify the leading terms of the (reduced) K-energy map with a universal linear combination of the principal and subdominant coefficients of the weight of the $mth…
Analysis of Geometric Stability
Sean Timothy Paul, Gang Tian
We identify the difference between the CM polarisation and the Chow polarisation on the ``Hilbert scheme''. As a consequence, we give a numerical criterion for the CM stability as…
Ricci flow on Kaehler-Einstein surfaces
Xiuxiong Chen, Gang Tian
In this paper, we construct a set of new functionals of Ricci curvature on any Kaehler manifolds which are invariant under holomorphic transfermations in Kaehler Einstein manifolds…