On the existence and nonexistence of extremal metrics on toric Kähler surfaces

Wang, Xu-Jia; Zhou, Bing

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On the existence and nonexistence of extremal metrics on toric Kähler surfaces

Date

2011

Authors

Wang, Xu-Jia

Zhou, Bing

Publisher

Academic Press

Abstract

In this paper we study the existence of extremal metrics on toric Kähler surfaces. We show that on every toric Kähler surface, there exists a Kähler class in which the surface admits an extremal metric of Calabi. We found a toric Kähler surface of 9 T