2010/09/17 by Luis J. Alı́as, Alias, L. J., G. Pacelli Bessa +5
Mathematics · Physics and Astronomy · #53C40 (Primary) #53C42 #58C40 (Secondary) #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1009.3467
openalex publication_date 2010/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.