A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH

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概要

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• 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.

• Faculty of Mathematics, Kyushu Universityの論文
• 2011-03-00

Faculty of Mathematics, Kyushu University | 論文

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