S. Maksymenko

activity

19992005

collaborators

3 papers

math.FA2005

Stabilizers and orbits of circle-valued smooth functions

Sergey Maksymenko

Let $M$ be a smooth compact manifold and $P$ be either $R^{1}$ or $S^{1}$ . There is a natural action of the groups $D i f f (M)$ and $D i f f (M) \times D i f f (P)$ on the space of smooth mapping…

math.GT2001

Smooth shifts along flows

Sergey Maksymenko

Let $Φ$ be a flow on a smooth, compact, finite-dimensional manifold $M$ . Consider the subsets $E (Φ)$ and $D (Φ)$ of $C^{\infty} (M, M)$ consisting of smoothh mappings and diffeomorphi…

math.GT1999

Connected components of the space of circle-valued Morse functions on surfaces

Sergey Maksymenko

We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions $f, g : M \to S^{1}$ belong to same path-component of this space…