Ricci pinched compact submanifolds in spheres
Differential Geometry
2025-09-03 v6
Abstract
We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector of the immersion. Just in special cases, the limited strength of the assumption allows some strong additional information on the extrinsic geometry of the submanifold.
Keywords
Cite
@article{arxiv.2305.14151,
title = {Ricci pinched compact submanifolds in spheres},
author = {Marcos Dajczer and Theodoros Vlachos},
journal= {arXiv preprint arXiv:2305.14151},
year = {2025}
}