A smooth function on a manifold with given reeb graph

Yasutaka Masumoto, Osamu Saeki

研究成果: Contribution to journalArticle査読

7 被引用数 (Scopus)

抄録

We show that any finite graph without loops can be realized as the Reeb graph of a smooth function on a closed manifold with finitely many critical values, but possibly with positive dimensional critical point set. We also show that such a function can be chosen as the height function on a surface immersed in 3-space, provided that the graph has no isolated vertices.

本文言語英語
ページ(範囲)75-84
ページ数10
ジャーナルKyushu Journal of Mathematics
65
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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