Zobrazeno 1 - 10
of 489
pro vyhledávání: '"58A14"'
We prove that the universal cover of a normal complex algebraic variety admitting a faithful complex representation of its fundamental group is an analytic Zariski open subset of a holomorphically convex complex space. This is a non-proper version of
Externí odkaz:
http://arxiv.org/abs/2408.16441
Autor:
Bandara, Lashi, Habib, Georges
We consider smooth vector bundles over smooth manifolds equipped with non-smooth geometric data. For nilpotent differential operators acting on these bundles, we show that the kernels of induced Hodge-Dirac-type operators remain isomorphic under unif
Externí odkaz:
http://arxiv.org/abs/2407.01170
Autor:
Valette, Guillaume
Given a bounded subanalytic submanifold of $\mathbb{R}^n$, possibly admitting singularities within its closure, we study the cohomology of $L^p$ differential forms having an $L^p$ exterior differential (in the sense of currents) and satisfying Dirich
Externí odkaz:
http://arxiv.org/abs/2405.17215
Autor:
Labbi, Mohammed Larbi
A $(p,q)$-double form on a Riemannian manifold $(M,g)$ can be considered simultaneously as a vector-valued differential $p$-form over $M$ or alternatively as a vector-valued $q$-form. Accordingly, the usual Hodge-de Rham Laplacian on differential for
Externí odkaz:
http://arxiv.org/abs/2405.12828
A Riemannian metric on a closed manifold is said to be geometrically formal if the wedge product of any two harmonic forms is harmonic; equivalently, the interior product of any two harmonic forms is harmonic. Given a Riemannian foliation on a closed
Externí odkaz:
http://arxiv.org/abs/2405.10867
Let $F$ be a transversely oriented foliation of codimension 1 on a closed manifold $M$, and let $\phi=\{\phi^t\}$ be a foliated flow on $(M,F)$. Assume the closed orbits of $\phi$ are simple and its preserved leaves are transversely simple. In this c
Externí odkaz:
http://arxiv.org/abs/2402.06671
Autor:
Sillari, L., Tomassini, A.
In 1954, Hirzebruch reported a problem posed by Kodaira and Spencer: on compact almost complex manifolds, is the dimension $h^{p,q}_{\bar \partial}$ of the kernel of the Dolbeault Laplacian independent of the choice of almost Hermitian metric? In thi
Externí odkaz:
http://arxiv.org/abs/2312.12366
Autor:
Zhuang, Hao
We introduce and study a simplified Morse-Bott-Smale chain complex for a manifold admitting a torus action and a special type of invariant Morse-Bott-Smale functions. In our construction, we allow the possibility that the unstable manifolds are nonor
Externí odkaz:
http://arxiv.org/abs/2311.10417
Autor:
Holt, Tom, Piovani, Riccardo
We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms for left-invariant almost complex structures on the generalised Kodaira-Thurston manifolds.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2310.09027
Let $\overline{M}$ be a compact smoothly stratified pseudo-manifold endowed with a wedge metric $g$. Let $\overline{M}_\Gamma$ be a Galois $\Gamma$-covering. Under additional assumptions on $\overline{M}$, satisfied for example by Witt pseudo-manifol
Externí odkaz:
http://arxiv.org/abs/2310.05721