Height functions on surfaces with three critical values

スポンサーリンク

概要

• 論文の詳細を見る

• 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.

• 社団法人 日本数学会の論文
• 2011-01-01

著者

• Saeki Osamu

  Faculty Of Mathematics Kyushu University

• MORISHITA Fumiya

  Shimabara High School

関連論文

• ELIMINATION OF DEFINITE FOLD
• Generic smooth maps with sphere fibers : Dedicated to Professor Yukio Matsumoto on the occasion of his 60th birthday
• Morse functions with sphere fibers
• A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH
• Cobordism group of Morse functions on surfaces : Dedicated to Professor Tatsuo Suwa on his sixtieth birthday
• Height functions on surfaces with three critical values

スポンサーリンク