Zobrazeno 1 - 3
of 3
pro vyhledávání: '"58D15 (Primary), 46E35 (Secondary)"'
Autor:
Dipasquale, Federico Luigi
Triggered by a recent criterion, due to A.~Petrunin [17], to check if a complete, non-compact, Riemannian manifold admits an isometric embedding into a Euclidean space with positive reach, we extend to manifolds with such property the singular extens
Externí odkaz:
http://arxiv.org/abs/2406.05570
Autor:
Bulanyi, Bohdan, Van Schaftingen, Jean
Publikováno v:
J. Funct. Anal. 288 (2025), n{\deg}1, 110681
Given $m \in \mathbb{N} \setminus \{0\}$ and a compact Riemannian manifold $\mathcal{N}$, we construct for every map $u$ in the critical Sobolev space $W^{m/(m + 1), m + 1} (\mathbb{S}^m, \mathcal{N})$, a map $U : \mathbb{B}^{m + 1} \to \mathcal{N}$
Externí odkaz:
http://arxiv.org/abs/2309.12874
Autor:
Van Schaftingen, Jean
Given compact Riemannian manifolds $\mathcal{M}$ and $\mathcal{N}$, a Riemannian covering $\pi : \smash{\widetilde{\mathcal{N}}} \to \mathcal{N}$ by a noncompact covering space $\smash{\widetilde{\mathcal{N}}}$, $1 < p < \infty$ and $0 < s < 1$, the
Externí odkaz:
http://arxiv.org/abs/2301.07663