无 Sasakian 度量的紧 K-contact 流形实例
微分几何
2014-10-24 v2 辛几何
摘要
利用 Sasakian 流形的 Hard Lefschetz 定理，我们分别找到了在五维和七维中不存在相容 Sasakian 度量的紧 K-contact 幂零流形的两个实例。
引用
@article{arxiv.1311.3270,
title = {Examples of compact K-contact manifolds with no Sasakian metric},
author = {Beniamino Cappelletti-Montano and Antonio De Nicola and Juan Carlos Marrero and Ivan Yudin},
journal= {arXiv preprint arXiv:1311.3270},
year = {2014}
}
备注
8 pages, accepted for publication in IJGMMP (Proceedings of the XXII IFWGP, University of Evora, Portugal)