Work

Ricci pinched compact hypersurfaces in spheres

Year: 2025

Type: article

Abstract: We investigate the topology of the compact hypersurfaces in round spheres focusing on those with the Ricci curvature satisfying an appropriate bound determined solely by the mean curvature of the submanifold. In this paper, the application of the Bochner technique yields more robust results compared to those presented in [2] for submanifolds that lay in any codimension.

Source: manuscripta mathematica

DOI: 10.1007/s00229-025-01651-w

Authors: M. Dajczer, M. I. Jimenez, Th. Vlachos

Institutions: Universidad de Murcia, Universidade de São Paulo, 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: $3,090

OpenAlex ID: W4412484818