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Kähler-Einstein metrics and integral invariants
昭人 二木
- Iss: 1314
TLDR
In this paper, the character f and its generalization to extremal Kahlerian invariants are presented. But they do not discuss the generalization of these invariants to the extreme extremal case.Abstract:
Preliminaries.- Kahler-Einstein metrics and extremal Kahler metrics.- The character f and its generalization to Kahlerian invariants.- The character f as an obstruction.- The character f as a classical invariant.- Lifting f to a group character.- The character f as a moment map.- Aubin's approach and related results.read more
Citations
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Mixed Motives and Algebraic K-Theory
TL;DR: In this article, the mixed motives for absolute hodge cycles are discussed. And they include algebraic cycles, K-theory, and extension classes, as well as Ktheory and?-adic cohomology.
Journal ArticleDOI
Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
TL;DR: In this article, the existence of transverse Kahler-Ricci solitons on compact toric Sasaki manifolds was shown to be an obstruction to the transverse KG metric with harmonic Chern forms.
Journal ArticleDOI
New type IIB vacua and their F theory interpretation
TL;DR: In this paper, a D3-D7 system in type IIB string theory is described by AdS5×X5 where X5 is a U(1) bundle over a Kahler-Einstein complex surface S with positive first Chern class c1>0.
Journal ArticleDOI
Convergence of Kähler-Ricci flow
Gang Tian,Xiaohua Zhu +1 more
TL;DR: In this paper, the authors prove a theorem on convergence of a compact Kahler manifold which admits a Kahler-Ricci soliton, and prove a similar result for the convergence of the Ricci flow.
Journal ArticleDOI
A new holomorphic invariant and uniqueness of Kähler-Ricci solitons
Gang Tian,Xiaohua Zhu +1 more
TL;DR: In this paper, a new holomorphic invariant is defined on a compact Kahler manifold with positive first Chern class and nontrivial holomorphic vector fields, which is an obstruction to the existence of Kahler-Ricci solitons.
References
More filters
Book
Mixed Motives and Algebraic K-Theory
TL;DR: In this article, the mixed motives for absolute hodge cycles are discussed. And they include algebraic cycles, K-theory, and extension classes, as well as Ktheory and?-adic cohomology.
Journal ArticleDOI
Hyperkähler and quaternionic Kähler geometry
TL;DR: A quaternion-Hermitian manifold of dimension at least 12 with closed fundamental 4-form is shown to be quaternionic Kahler as discussed by the authors, and a similar result is proved for 8-manifolds.
Journal ArticleDOI
Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
TL;DR: In this article, the existence of transverse Kahler-Ricci solitons on compact toric Sasaki manifolds was shown to be an obstruction to the transverse KG metric with harmonic Chern forms.
Journal ArticleDOI
New type IIB vacua and their F theory interpretation
TL;DR: In this paper, a D3-D7 system in type IIB string theory is described by AdS5×X5 where X5 is a U(1) bundle over a Kahler-Einstein complex surface S with positive first Chern class c1>0.
Journal ArticleDOI
Convergence of Kähler-Ricci flow
Gang Tian,Xiaohua Zhu +1 more
TL;DR: In this paper, the authors prove a theorem on convergence of a compact Kahler manifold which admits a Kahler-Ricci soliton, and prove a similar result for the convergence of the Ricci flow.