Complex Deformation of Critical Kahler Metrics

Haozhao Li

Type: Article

Publication Date: 2017-01-01

Citations: 5

DOI: https://doi.org/10.4208/jms.v50n2.17.02

Abstract

In this paper, we use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we also discuss the complex deformation of K\"ahler Ricci solitons.

Locations

Journal of Mathematical Study - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (11)

Action	Title	Year	Authors
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris
+ PDF Chat	A residue formula for holomorphic vector-fields	1967	Raoul Bott
+	Stability of extremal metrics under complex deformations	2011	Yann Rollin Santiago R. Simanca Carl Tipler
+ PDF Chat	Foliation by constant mean curvature spheres	1991	Rugang Ye
+	Calabi Energies of Extremal Toric Surfaces	2011	Claude LeBrun
+ PDF Chat	Extremal metrics on blowups	2011	Claudio Arezzo Frank Pacard Michael C. Singer
+	Einstein metrics and complex structures	1983	Norihito Koiso
+	Constant mean curvature spheres in Riemannian manifolds	2008	Frank Pacard Xingwang Xu
+ PDF Chat	Stability of vector bundles and extremal metrics	1988	D. Burns Paolo de Bartolomeis
+	48. On deformations of complex analytic structures, III, Stability theorems for complex structures	2015	K. Kodaira D. C. Spencer