|
|||||
|
|
Volume, surface area and inward injectivity radius |
|
| Authors: | Nobuhiro Innami |
| Affiliation: | Department of Mathematics and Information, Graduate School of Science and Technology, Niigata University, Niigata, 950-2181, Japan |
| Abstract: | We show some relations among the volumes of domains in Euclidean spaces, their surface areas and the inward injectivity radii from their boundaries. In particular, we give an estimate for the upper bound of the ratios of their surface areas and volumes by means of inward injectivity radii. The upper bound seems to depend on their topological structures. |
| Keywords: | Volume surface area injectivity radius tube |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |