Topological obstructions for submanifolds in low codimension
Differential Geometry
2017-01-26 v1
Abstract
We prove integral curvature bounds in terms of the Betti numbers for compact submanifolds of the Euclidean space with low codimension. As an application, we obtain topological obstructions for -pinched immersions. Furthermore, we obtain intrinsic obstructions for minimal submanifolds in spheres with pinched second fundamental form.
Keywords
Cite
@article{arxiv.1701.05025,
title = {Topological obstructions for submanifolds in low codimension},
author = {Christos-Raent Onti and Theodoros Vlachos},
journal= {arXiv preprint arXiv:1701.05025},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1610.07349, arXiv:1008.1179