Height functions on surfaces with three critical values

Fumiya Morishita, Osamu Saeki

研究成果: Contribution to journalArticle査読

抄録

For a given closed surface, we study height functions with three critical values associated with immersions of the surface into 3-space, where the critical points may not be non-degenerate. We completely characterize the numbers of critical points corresponding to the three critical values that can be realized by such height functions. We also study the cases where the immersion can be replaced by an embedding or the critical points are all non-degenerate. Similar problems are studied for distance functions as well.

本文言語英語
ページ(範囲)153-162
ページ数10
ジャーナルJournal of the Mathematical Society of Japan
63
1
DOI
出版ステータス出版済み - 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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