Test Configurations, Stabilities and Canonical Kähler Metrics, 1st ed. 2021 Complex Geometry by the Energy Method SpringerBriefs in Mathematics Series
Auteur : Mabuchi Toshiki
It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds.
Another important tool in our approach is the Chow norm introduced by Zhang. This is closely related to Ding?s functional, and plays a crucial role in our differential geometric study of stability. By discussing the Chow norm from various points of view, we shall make a systematic study of the existence problem of extremal Kähler metrics.The main theme of our book is the very hot issue known as the Yau-Tian-Donaldson conjecture
As to the Yau-Tian-Donaldson conjecture, we focus on the open case on the existence of extremal Kähler metrics
In our approach to the existence problem of extremal metrics, we use the Chow norm very effectively
Date de parution : 03-2021
Ouvrage de 128 p.
15.5x23.5 cm