| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8255503 | Journal of Geometry and Physics | 2018 | 8 Pages |
Abstract
We obtain a Chern-Osserman type equality of a complete immersed surface in Euclidean space, provided the L2-norm of the second fundamental form is finite. Also, by using a monotonicity formula, we prove that if the L2-norm of mean curvature of a noncompact surface is finite, then it has at least quadratic area growth.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qing Chen, Wenjie Yang,