The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture will be discussed.
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.| ISBN: | 9789811604997 |
| Publication date: | 26th March 2021 |
| Author: | Toshiki Mabuchi |
| Publisher: | Springer an imprint of Springer Nature Singapore |
| Format: | Paperback |
| Pagination: | 128 pages |
| Series: | SpringerBriefs in Mathematics |
The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases.
Paperback. £49.49, down from the £54.99 cover price. Not Available.
Test Configurations, Stabilities and Canonical Kähler Metrics was written by Toshiki Mabuchi and published by Springer an imprint of Springer Nature Singapore
Test Configurations, Stabilities and Canonical Kähler Metrics has 128 pages
Yes it is part of SpringerBriefs in Mathematics series
£49.49, reduced from £54.99. Not Available.