Work

Ricci pinched compact submanifolds in spheres

Year: 2025

Type: article

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.

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-025-10007-2

Authors: Marcos Dajczer, Theodoros Vlachos

Institutions: Universidad de Murcia, University of Ioannina

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190