Reeb spaces of smooth functions on manifolds II

Osamu Saeki

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arXiv · 2308.05953

Reeb spaces of smooth functions on manifolds II

Osamu Saeki

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Abstract

The Reeb space of a continuous function is the space of connected components of the level sets. In this paper we characterize those smooth functions on closed manifolds whose Reeb spaces have the structure of a finite graph. We also give several explicit examples of smooth functions on closed manifolds such that they themselves or their Reeb spaces have some interesting properties.

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BibTeX RIS

Osamu Saeki. 2023-08-11. Reeb spaces of smooth functions on manifolds II. https://arxiv.org/abs/2308.05953

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