A weaker rigidity theorem for pairs of hyperquadrics and its application
Differential Geometry
2015-03-19 v1
Abstract
In this short article, we establish a rigidity theorem for pairs of hyperquadrics in a weaker sense, i.e., we impose a condition that minimal rational curves are preserved, which is stronger than inheriting a sub-VMRT structure, a notion raised by Mok & Zhang (2014). This problem has its source in a theorem of Tsai (1993), and the main result of this article can be applied back to give a more intrinsic proof of Tsai's theorem.
Keywords
Cite
@article{arxiv.1503.05284,
title = {A weaker rigidity theorem for pairs of hyperquadrics and its application},
author = {Yunxin Zhang},
journal= {arXiv preprint arXiv:1503.05284},
year = {2015}
}
Comments
9 pages