Veronese minimizes normal curvatures
Differential Geometry
2025-03-18 v2
Abstract
Suppose M is a closed submanifold in a Euclidean ball of sufficiently large dimension. We give an optimal bound on the normal curvatures, guaranteeing that M is a sphere. The border cases consist of Veronese embeddings of the four projective planes.
Keywords
Cite
@article{arxiv.2408.05909,
title = {Veronese minimizes normal curvatures},
author = {Anton Petrunin},
journal= {arXiv preprint arXiv:2408.05909},
year = {2025}
}
Comments
5 pages, 1 figure