S. Maksymenko

activity

19992009

most citedStabilizers and orbits of smooth functions

21 citations · 42 across the 8 of their papers we have counts for

collaborators

8 papers

math.DS2009★ 4 cited

Image of a shift map along the orbits of a flow

Sergiy Maksymenko

Let $(F_{t})$ be a smooth flow on a smooth manifold $M$ and $h : M \to M$ be a smooth orbit preserving map. The following problem is studied: suppose that for every point $z$ of $M$ the…

math.DS2006

Sections of Lie group actions and a theorem by M. Newman

Sergey Maksymenko

Let $M$ be a smooth finite-dimensional manifold, $G$ be a Lie group, and $Φ : G \times M \to M$ be a smooth action. Consider the following mapping $ϕ: C^{\infty}(M,G) \to C^{\infty}(…

math.DG2005

Consecutive shifts along orbits of vector fields

Sergey Maksymenko

Let $M$ be a smooth ( $C^{\infty}$ ) manifold, $F_{1}, ..., F_{n}$ be vector fields on $M$ generating the corresponding flows $Φ_{1}, ..., Φ_{n}$ , and $α_{1}, ..., α_{n} : M \to R$ smooth func…

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.FA2004★ 21 cited

Stabilizers and orbits of smooth functions

Sergey Maksymenko

Let $f : R^{m} \to R$ be a smooth function such that $f (0) = 0$ . We give a condition on $f$ when for arbitrary preserving orientation diffeomorphism $ϕ : R \to R$ such th…

math.GT2001★ 5 cited

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…