$T^2\times S^3$ 及相关流形上的极值Sasakian几何
微分几何
2019-02-20 v3
摘要
我们证明了在 及某些相关流形上可数无限多个不同接触结构中存在极值Sasakian结构。这些结构以束状出现，并且穷尽了所有Sasaki锥，仅有一个不存在极值度量的情形例外。
引用
@article{arxiv.1108.2005,
title = {Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds},
author = {Charles P. Boyer and Christina W. Tønnesen-Friedman},
journal= {arXiv preprint arXiv:1108.2005},
year = {2019}
}
备注
35 pages, clarifications made and typos corrected in revised version, further corrections made, slight change in title, to appear in Compositio Mathematica