On weak holonomy
微分几何
2007-05-23 v2
摘要
We prove that SU(n) (n > 2) and Sp(n)U(1) (n > 1) are the only connected Lie groups acting transitively and effectively on some sphere which can be weak holonomy groups of a Riemannian manifold without having to contain its holonomy group. In both cases the manifold is Kaehler.
引用
@article{arxiv.math/0403479,
title = {On weak holonomy},
author = {Bogdan Alexandrov},
journal= {arXiv preprint arXiv:math/0403479},
year = {2007}
}
备注
17 pages, LATEX; two references added