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- Morishita Fumiya
- Shimabara High School
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- Saeki Osamu
- Faculty of Mathematics, Kyushu University
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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.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 63 (1), 153-162, 2011
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680092625536
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- NII論文ID
- 10027871268
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 10947546
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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