|
|||||
|
|
Singularities of Blaschke normal maps of convex surfaces |
|
| Authors: | Kentaro Saji Masaaki Umehara Kotaro Yamada |
| Institution: | 1. Department of Mathematics, Faculty of Education, Gifu University, Yanagido 1-1, Gifu 501-1193, Japan;2. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan;3. Department of Mathematics, Tokyo Institute of Technology, O-okayama, Meguro, Tokyo 152-8551, Japan |
| Abstract: | We prove that the difference between the numbers of positive swallowtails and negative swallowtails of the Blaschke normal map for a given convex surface in affine space is equal to the Euler number of the subset where the affine shape operator has negative determinant. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |