Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297121189> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W4297121189 abstract "As part of his celebrated Complex Frobenius Theorem, Nirenberg showed that given a smooth elliptic structure (on a smooth manifold), the manifold is locally diffeomorphic to an open subset of $mathbb{R}^rtimes mathbb{C}^n$ (for some $r$ and $n$) in such a way that the structure is locally the span of $frac{partial}{partial t_1},ldots, frac{partial}{partial t_r},frac{partial}{partial overline{z}_1},ldots, frac{partial}{partial overline{z}_n}$; where $mathbb{R}^rtimes mathbb{C}^n$ has coordinates $(t_1,ldots, t_r, z_1,ldots, z_n)$. In this paper, we give optimal regularity for the coordinate charts which achieve this realization. Namely, if the manifold has Zygmund regularity of order $s+2$ and the structure has Zygmund regularity of order $s+1$ (for some $s>0$), then the coordinate chart may be taken to have Zygmund regularity of order $s+2$. We do this by generalizing Malgrange's proof of the Newlander-Nirenberg Theorem to this setting." @default.
- W4297121189 created "2022-09-27" @default.
- W4297121189 creator A5077939778 @default.
- W4297121189 date "2018-10-23" @default.
- W4297121189 modified "2023-09-28" @default.
- W4297121189 title "Sharp Regularity for the Integrability of Elliptic Structures" @default.
- W4297121189 doi "https://doi.org/10.48550/arxiv.1810.10057" @default.
- W4297121189 hasPublicationYear "2018" @default.
- W4297121189 type Work @default.
- W4297121189 citedByCount "0" @default.
- W4297121189 crossrefType "posted-content" @default.
- W4297121189 hasAuthorship W4297121189A5077939778 @default.
- W4297121189 hasBestOaLocation W42971211891 @default.
- W4297121189 hasConcept C10138342 @default.
- W4297121189 hasConcept C105795698 @default.
- W4297121189 hasConcept C114614502 @default.
- W4297121189 hasConcept C127413603 @default.
- W4297121189 hasConcept C162324750 @default.
- W4297121189 hasConcept C182306322 @default.
- W4297121189 hasConcept C202444582 @default.
- W4297121189 hasConcept C2781089630 @default.
- W4297121189 hasConcept C33923547 @default.
- W4297121189 hasConcept C47556283 @default.
- W4297121189 hasConcept C529865628 @default.
- W4297121189 hasConcept C78519656 @default.
- W4297121189 hasConceptScore W4297121189C10138342 @default.
- W4297121189 hasConceptScore W4297121189C105795698 @default.
- W4297121189 hasConceptScore W4297121189C114614502 @default.
- W4297121189 hasConceptScore W4297121189C127413603 @default.
- W4297121189 hasConceptScore W4297121189C162324750 @default.
- W4297121189 hasConceptScore W4297121189C182306322 @default.
- W4297121189 hasConceptScore W4297121189C202444582 @default.
- W4297121189 hasConceptScore W4297121189C2781089630 @default.
- W4297121189 hasConceptScore W4297121189C33923547 @default.
- W4297121189 hasConceptScore W4297121189C47556283 @default.
- W4297121189 hasConceptScore W4297121189C529865628 @default.
- W4297121189 hasConceptScore W4297121189C78519656 @default.
- W4297121189 hasLocation W42971211891 @default.
- W4297121189 hasOpenAccess W4297121189 @default.
- W4297121189 hasPrimaryLocation W42971211891 @default.
- W4297121189 hasRelatedWork W1510039888 @default.
- W4297121189 hasRelatedWork W2000125321 @default.
- W4297121189 hasRelatedWork W2066371872 @default.
- W4297121189 hasRelatedWork W2767996480 @default.
- W4297121189 hasRelatedWork W3020275834 @default.
- W4297121189 hasRelatedWork W3215834860 @default.
- W4297121189 hasRelatedWork W4225641104 @default.
- W4297121189 hasRelatedWork W4250798950 @default.
- W4297121189 hasRelatedWork W4287812938 @default.
- W4297121189 hasRelatedWork W4305008695 @default.
- W4297121189 isParatext "false" @default.
- W4297121189 isRetracted "false" @default.
- W4297121189 workType "article" @default.