Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Height functions on surfaces with three critical values
Fumiya MorishitaOsamu Saeki
著者情報
ジャーナル フリー

2011 年 63 巻 1 号 p. 153-162

詳細
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.
著者関連情報

この記事は最新の被引用情報を取得できません。

© 2011 The Mathematical Society of Japan
前の記事 次の記事
feedback
Top