Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606114 | Differential Geometry and its Applications | 2014 | 12 Pages |
Abstract
Let M be a surface with the boundary ∂M immersed in an n-dimensional Riemannian manifold N. If we denote the length of ∂M by L(∂M)L(∂M), we estimate the intrinsic diameter of M under some geometric restrictions as follows:dint⩽C(∫M|H|dμ+L(∂M)2) for some constant C>0C>0 and the mean curvature H. Also we obtain a lower bound of the area of a closed minimal surface.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Seong-Hun Paeng,