Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Maksymenko, Sergiy"'
Autor:
Lysynskyi, Mykola, Maksymenko, Sergiy
We classify differentiable structures on a line $\mathbb{L}$ with two origins being a non-Hausdorff but $T_1$ one-dimensional manifold obtained by ``doubling'' $0$. For $k\in\mathbb{N}\cup\{\infty\}$ let $H$ be the group of homeomorphisms $h$ of $\ma
Externí odkaz:
http://arxiv.org/abs/2406.09576
Autor:
Maksymenko, Sergiy
Publikováno v:
Differential Geometry and its Applications, 97 (2024) 102189
Let $M$ be a smooth manifold and $\mathcal{F}$ a Morse-Bott foliation on $M$ with a compact critical manifold $\Sigma$. Denote by $\mathcal{D}(\mathcal{F})$ the group of diffeomorphisms of $M$ leaving invariant each leaf of $\mathcal{F}$. Under certa
Externí odkaz:
http://arxiv.org/abs/2311.13176
Autor:
Kuznietsova, Iryna, Maksymenko, Sergiy
Given a compact surface $M$, consider the natural right action of the group of diffeomorphisms $\mathcal{D}(M)$ of $M$ on $\mathcal{C}^{\infty}(M,\mathbb{R})$ given by $(f,h)\mapsto f\circ h$ for $f\in \mathcal{C}^{\infty}(M,\mathbb{R})$ and $h\in\ma
Externí odkaz:
http://arxiv.org/abs/2308.00577
Autor:
Maksymenko, Sergiy
Publikováno v:
Transactions of Institute of Mathematics, the NAS of Ukraine -- Modern problems of mathematics and its applications, III, 20, no. 1 (2023) 896-910
Let $\mathcal{G}$ be a Morse-Bott foliation on the solid Klein bottle $\mathbf{K}$ into $2$-dimensional Klein bottles parallel to the boundary and one singular circle $S^1$. Let also $S^1\widetilde{\times}S^2$ be the twisted bundle over $S^1$ which i
Externí odkaz:
http://arxiv.org/abs/2306.11858
Autor:
Maksymenko, Sergiy
Publikováno v:
Journal of Homotopy and Related Structures, 2024
Let $\mathcal{F}$ be a Morse-Bott foliation on the solid torus $T=S^1\times D^2$ into $2$-tori parallel to the boundary and one singular central circle. Gluing two copies of $T$ by some diffeomorphism between their boundaries, one gets a lens space $
Externí odkaz:
http://arxiv.org/abs/2301.12447
Publikováno v:
Journal of Homotopy and Related Structures, 18 (2023) 313-356
Let $T= S^1\times D^2$ be the solid torus, $\mathcal{F}$ the Morse-Bott foliation on $T$ into $2$-tori parallel to the boundary and one singular circle $S^1\times 0$, which is the central circle of the torus $T$, and $\mathcal{D}(\mathcal{F},\partial
Externí odkaz:
http://arxiv.org/abs/2210.11043
Let $\mathcal{F}$ be a foliation with a "singular" submanifold $B$ on a smooth manifold $M$ and $p:E \to B$ be a regular neighborhood of $B$ in $M$. Under certain "homogeneity" assumptions on $\mathcal{F}$ near $B$ we prove that every leaf preserving
Externí odkaz:
http://arxiv.org/abs/2208.05876
Autor:
Maksymenko, Sergiy, Polulyakh, Eugene
Publikováno v:
Proceedings of the International Geometry Center, vol. 14, no. 4 (2021), 271-290
Let $Z$ be a non-compact two-dimensional manifold obtained from a family of open strips $\mathbb{R}\times(0,1)$ with boundary intervals by gluing those strips along some pairs of their boundary intervals. Every such strip has a natural foliation into
Externí odkaz:
http://arxiv.org/abs/2202.07770
Let $M$ be either $n$-sphere $\mathbb{S}^{n}$ or a connected sum of finitely many copies of $\mathbb{S}^{n-1}\times \mathbb{S}^{1}$, $n\geq4$. A flow $f^t$ on $M$ is called gradient-like whenever its non-wandering set consists of finitely many hyperb
Externí odkaz:
http://arxiv.org/abs/2111.03801
Autor:
Maksymenko, Sergiy
Publikováno v:
Proceedings of the Institute of Mathematics of NAS of Ukraine, 2020, vol 17, no. 2, pp. 150-199
The paper contains a review on recent progress in the deformational properties of smooth maps from compact surfaces $M$ to a one-dimensional manifold $P$. It covers description of homotopy types of stabilizers and orbits of a large class of smooth fu
Externí odkaz:
http://arxiv.org/abs/2105.13416