Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

G. Catino - A. Roncoroni - L. Vezzoni

On the umbilic set of immersed surfaces in three-dimensional space forms

created by catino on 17 Apr 2019

[BibTeX]

Submitted Paper

Inserted: 17 apr 2019
Last Updated: 17 apr 2019

Year: 2019

Abstract:

We prove that under some assumptions on the mean curvature the set of umbilical points of an immersed surface in a $3$-dimensional space form has positive measure. In case of an immersed sphere our result can be seen as a generalization of the celebrated Hopf theorem.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1