The minimal number of singularities of stable maps between surfaces |
| |
| Authors: | Atsushi Kamenosono |
| |
| Institution: | a 532 Shinnishikata, Ibusuki, Kagoshima 891-0313, Japan
b Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-chome, Higashi-ku, Fukuoka 813-8503, Japan |
| |
| Abstract: | For a C∞ stable map  of a closed and connected surface M into the sphere, let c(φ), i(φ) and n(φ) denote the numbers of cusps, fold curves components and nodes respectively. In this paper, in a given homotopy class, we will determine the minimal pair (i,c+n) with respect to the lexicographic order. |
| |
| Keywords: | primary 57R45 secondary 57N13 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
