关于 Fano 流形的形变
微分几何
2024-03-12 v2
摘要
本文给出了 Fano K"ahler-Einstein 流形的小形变上存在 K"ahler-Einstein 度量的新的充分必要条件。我们还证明了 Weil-Petersson 度量可以被直像丛上典范 度量的 Ricci 曲率所逼近。此外，我们描述了一般型紧 K"ahler-Einstein 流形形变的 Kuranishi 空间上调和映射能量函数的多重次调和性。
引用
@article{arxiv.2006.01355,
title = {On Deformations of Fano Manifolds},
author = {Huai-Dong Cao and Xiaofeng Sun and Shing-Tung Yau and Yingying Zhang},
journal= {arXiv preprint arXiv:2006.01355},
year = {2024}
}
备注
A new equivalent condition has been added to Theorem 1.1. In Theorem 1.2, we removed the assumption on the automorphism group which appeared in the previous version