Semi-parallelism of normal Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians

Autor:	Panagiotidou, Konstantina, Tripathi, Mukut Mani
Rok vydání:	2012
Předmět:	Mathematics - Differential Geometry 53C40 53C15
Druh dokumentu:	Working Paper
Popis:	It is proved the non-existence of Hopf hypersurfaces in $G_{2}({\Bbb C}^{m+2})$, $m \geq 3$, whose normal Jacobi operator is semi-parallel, if the principal curvature of the Reeb vector field is non-vanishing and the component of the Reeb vector field in the maximal quaternionic subbundle ${\frak D}$ or its orthogonal complement ${\frak D}^{\bot}$ is invariant by the shape operator. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.1937 Zobrazit plný text záznamu View this record from Arxiv