Zobrazeno 1 - 10
of 133
pro vyhledávání: '"58B05"'
We consider a differential inclusion on a manifold, defined by a field of open half-spaces whose boundary in each tangent space is the kernel of a one-form. We make the assumption that the corank one distribution associated to the kernel is completel
Externí odkaz:
http://arxiv.org/abs/2404.07614
Autor:
Rot, Thomas O., Toussaint, Lauran
We classify non-linear proper Fredholm maps between Hilbert spaces, up to proper homotopy, in terms of the stable homotopy groups of spheres. We show that there is a surjective map from the stable homotopy groups of spheres to the set of non-linear p
Externí odkaz:
http://arxiv.org/abs/2307.08020
Autor:
Hertl, Thorsten
We apply the strategy to study of diffeomorphisms via block diffeomorphisms to the world of positive scalar curvature (psc) metrics. For each closed psc manifold $M$, we construct the cubical set $\widetilde{\mathcal{R}^{+}_{\bullet}}(M)$ of all psc
Externí odkaz:
http://arxiv.org/abs/2303.07844
Autor:
Pavlov, Dmitri
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 1913-1951
We prove that the category of diffeological spaces does not admit a model structure transferred via the smooth singular complex functor from simplicial sets, resolving in the negative a conjecture of Christensen and Wu. Embedding diffeological spaces
Externí odkaz:
http://arxiv.org/abs/2210.12845
Autor:
Magnot, Jean-Pierre
Publikováno v:
Proceedings of the International Geometry Center, 16(2), 125-141 (2023)
We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give few results on diffeological principal bundles with (a priori) no local trivializatio
Externí odkaz:
http://arxiv.org/abs/2207.07015
Locally convex (or nondegenerate) curves in the sphere $S^n$ (or the projective space) have been studied for several reasons, including the study of linear ordinary differential equations of order $n+1$. Taking Frenet frames allows us to obtain corre
Externí odkaz:
http://arxiv.org/abs/2205.10928
Autor:
Goulart, Victor, Saldanha, Nicolau C.
Locally convex curves in the sphere $S^n$ have been studied for several reasons, including the study of linear ordinary differential equations. Taking Frenet frames obtains corresponding curves $\Gamma$ in the group $Spin_{n+1}$; $\Pi: Spin_{n+1} \to
Externí odkaz:
http://arxiv.org/abs/2112.14539
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
Autor:
Karassev, Alexandre, Valov, Vesko
We investigate to what extend the density of $Z_n$-maps in the characterization of $Q$-manifolds, and the density of maps $f\in C(\mathbb N\times Q,X)$ having discrete images in the $l_2$-manifolds characterization can be weakened to the density of h
Externí odkaz:
http://arxiv.org/abs/2012.00231
Autor:
Ma, Jipu
Let $B(E,F)$ denote the set of all bounded linear operators from $E$ into $F$, and $B^+(E,F)$ the set of double splitting operators in $B(E,F)$. When both $E,F$ are infinite dimensional , in $B(E,F)$ there are not more elementary transformations in m
Externí odkaz:
http://arxiv.org/abs/2011.07488