A Frankel type theorem for generic submanifolds of Sasakian manifolds
Differential Geometry
2020-06-16 v1
Abstract
We introduce a weaker notion of generic submanifold of a Sasakian manifold and we prove a Frankel type theorem for this kind of submanifolds under suitable hypotesis on the index of the scalar Levi forms determined by normal directions. It concerns the intersection between a generic and an invariant submanifold and the intersection between two generic submanifolds. From this theorem we derive some topological information about generic submanifolds of Sasakian space forms.
Keywords
Cite
@article{arxiv.2006.07922,
title = {A Frankel type theorem for generic submanifolds of Sasakian manifolds},
author = {Dario Di Pinto and Antonio Lotta},
journal= {arXiv preprint arXiv:2006.07922},
year = {2020}
}