Bubbling of quasiregular maps - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematische Annalen Année : 2022

Bubbling of quasiregular maps

Résumé

We give a version of Gromov's compactess theorem for pseudoholomorphic curves in the case of quasiregular mappings between closed manifolds. More precisely we show that, given $K\ge 1$ and $D\ge 1$, any sequence $(f_n \colon M \to N)$ of $K$-quasiregular mappings of degree $D$ between closed Riemannian $d$-manifolds has a subsequence which converges to a $K$-quasiregular mapping $f\colon X\to N$ of degree $D$ on a nodal $d$-manifold $X$.

Dates et versions

hal-02998109 , version 1 (10-11-2020)

Identifiants

Citer

Pekka Pankka, Juan Souto. Bubbling of quasiregular maps. Mathematische Annalen, 2022, ⟨10.1007/s00208-021-02349-6⟩. ⟨hal-02998109⟩
56 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More