Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Mitsumatsu, Yoshihiko"'
For any Anosov diffeomorphims on a closed odd dimensional manifold, there exists no invariant contact structure.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/2408.06965
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact $3$-manifolds. More precisely, we show that a contact $3$-manifold $(M,\alpha)$ admits a critical compatible metric for the Chern-Hamilto
Externí odkaz:
http://arxiv.org/abs/2311.15833
We describe low dimensional homology groups of $\mathrm{Diff}^\delta_+S^1$ in terms of Haefliger's classifying space $B\overline{\Gamma}_1$ by applying a theorem of Thurston. Then we consider the question whether some power of the rational Euler clas
Externí odkaz:
http://arxiv.org/abs/2308.16414
Autor:
Mitsumatsu, Yoshihiko
We show that the natural symplectic structure on the Milnor fiber of an isolated singularity in complex three variables whose link fibers over the circle can be modified into one which is cylindrical at the end. As a consequence we see that the folia
Externí odkaz:
http://arxiv.org/abs/2202.04556
We show that there exists a Lefschetz fibration with the regular fiber diffeomorphic to $T^{2}$ on the Milnor fiber of any of cusp or simple elliptic singularities in complex three variables. As a consequence, we obtain a smooth topological decomposi
Externí odkaz:
http://arxiv.org/abs/2111.00749
We remark that there is no smooth function $f(x)$ on $[0, 1]$ which is flat at $0$ such that the derivative $f^{(n)}$ of any order $n\geq 0$ is positive on $(0,1]$. Moreover, the number of zeros of the $n$-th derivative $f^{(n)}$ grows to the infinit
Externí odkaz:
http://arxiv.org/abs/1805.01879
Autor:
Mitsumatsu, Yoshihiko
The aim of this paper is to extend basic understanding of Engel structures through developing geometric constructions which are canonical to a certain degree and the dynamics of Cauchy characteristics in the transverse spaces which may exhibit ellipt
Externí odkaz:
http://arxiv.org/abs/1804.09471
We review the standard Hopf construction of Reeb components with leafwise complex structure and determine the group of leafwise holomorphic smooth automorphisms for tame Reeb components in the case of complex leaf dimension one. For this, we solve th
Externí odkaz:
http://arxiv.org/abs/1605.08977
The automorphisms group of the 3-dimensional Reeb component with complex leaves is computed in the case where the component is obtained by the Hopf construction and the holonomy of the boundary leaf is not tangent to the identity to the infinite orde
Externí odkaz:
http://arxiv.org/abs/1511.08985
Autor:
Mitsumatsu, Yoshihiko, Vogt, Elmar
We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane field of a foliation.
Comment: 23 pages
Comment: 23 pages
Externí odkaz:
http://arxiv.org/abs/1509.06881