2023/05/23 by Marcos Dajczer, Theodoros Vlachos, Dajczer, Marcos +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #53C20 #53C40 #53C42 #55R25 #Advanced Neuroimaging Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Myofascial pain diagnosis and treatment
paper · pdf · doi:10.48550/arxiv.2305.14151
openalex publication_date 2023/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.