Matches in SemOpenAlex for { <https://semopenalex.org/work/W2061423218> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2061423218 endingPage "192" @default.
- W2061423218 startingPage "165" @default.
- W2061423218 abstract "To every closed subset X of a symplectic manifold (M, ω) we associate a natural group of Hamiltonian diffeomorphisms Ham (X, ω). We equip this group with a semi-norm $${VertcdotVert^{X, omega}}$$ , generalizing the Hofer norm. We discuss Ham (X, ω) and $${VertcdotVert^{X, omega}}$$ if X is a symplectic or isotropic submanifold. The main result involves the relative Hofer diameter of X in M. Its first part states that for the unit sphere in $${mathbb{R}^{2n}}$$ this diameter is bounded below by $${frac{pi}{2}}$$ , if n ≥ 2. Its second part states that for n ≥ 2 and d ≥ n there exists a compact subset X of the closed unit ball in $${mathbb{R}^{2n}}$$ , such that X has Hausdorff dimension at most d + 1 and relative Hofer diameter bounded below by π / k(n, d), where k(n, d) is an explicitly defined integer." @default.
- W2061423218 created "2016-06-24" @default.
- W2061423218 creator A5026258795 @default.
- W2061423218 creator A5074786158 @default.
- W2061423218 date "2012-05-29" @default.
- W2061423218 modified "2023-09-26" @default.
- W2061423218 title "Hofer geometry of a subset of a symplectic manifold" @default.
- W2061423218 cites W1510104748 @default.
- W2061423218 cites W1534089223 @default.
- W2061423218 cites W1662308318 @default.
- W2061423218 cites W2072323690 @default.
- W2061423218 cites W2083308781 @default.
- W2061423218 cites W2129998060 @default.
- W2061423218 cites W4293203252 @default.
- W2061423218 cites W4299611468 @default.
- W2061423218 doi "https://doi.org/10.1007/s10711-012-9743-z" @default.
- W2061423218 hasPublicationYear "2012" @default.
- W2061423218 type Work @default.
- W2061423218 sameAs 2061423218 @default.
- W2061423218 citedByCount "2" @default.
- W2061423218 countsByYear W20614232182013 @default.
- W2061423218 crossrefType "journal-article" @default.
- W2061423218 hasAuthorship W2061423218A5026258795 @default.
- W2061423218 hasAuthorship W2061423218A5074786158 @default.
- W2061423218 hasBestOaLocation W20614232182 @default.
- W2061423218 hasConcept C114614502 @default.
- W2061423218 hasConcept C121332964 @default.
- W2061423218 hasConcept C122041747 @default.
- W2061423218 hasConcept C130190758 @default.
- W2061423218 hasConcept C134306372 @default.
- W2061423218 hasConcept C151300846 @default.
- W2061423218 hasConcept C168619227 @default.
- W2061423218 hasConcept C191948623 @default.
- W2061423218 hasConcept C192939610 @default.
- W2061423218 hasConcept C2524010 @default.
- W2061423218 hasConcept C2779557605 @default.
- W2061423218 hasConcept C33923547 @default.
- W2061423218 hasConcept C34388435 @default.
- W2061423218 hasConcept C62520636 @default.
- W2061423218 hasConceptScore W2061423218C114614502 @default.
- W2061423218 hasConceptScore W2061423218C121332964 @default.
- W2061423218 hasConceptScore W2061423218C122041747 @default.
- W2061423218 hasConceptScore W2061423218C130190758 @default.
- W2061423218 hasConceptScore W2061423218C134306372 @default.
- W2061423218 hasConceptScore W2061423218C151300846 @default.
- W2061423218 hasConceptScore W2061423218C168619227 @default.
- W2061423218 hasConceptScore W2061423218C191948623 @default.
- W2061423218 hasConceptScore W2061423218C192939610 @default.
- W2061423218 hasConceptScore W2061423218C2524010 @default.
- W2061423218 hasConceptScore W2061423218C2779557605 @default.
- W2061423218 hasConceptScore W2061423218C33923547 @default.
- W2061423218 hasConceptScore W2061423218C34388435 @default.
- W2061423218 hasConceptScore W2061423218C62520636 @default.
- W2061423218 hasIssue "1" @default.
- W2061423218 hasLocation W20614232181 @default.
- W2061423218 hasLocation W20614232182 @default.
- W2061423218 hasLocation W20614232183 @default.
- W2061423218 hasLocation W20614232184 @default.
- W2061423218 hasOpenAccess W2061423218 @default.
- W2061423218 hasPrimaryLocation W20614232181 @default.
- W2061423218 hasRelatedWork W2061423218 @default.
- W2061423218 hasRelatedWork W2140440406 @default.
- W2061423218 hasRelatedWork W2949377680 @default.
- W2061423218 hasRelatedWork W2950325986 @default.
- W2061423218 hasRelatedWork W2963640320 @default.
- W2061423218 hasRelatedWork W2995434893 @default.
- W2061423218 hasRelatedWork W4284968746 @default.
- W2061423218 hasRelatedWork W4297938022 @default.
- W2061423218 hasRelatedWork W4299377258 @default.
- W2061423218 hasRelatedWork W4299989268 @default.
- W2061423218 hasVolume "163" @default.
- W2061423218 isParatext "false" @default.
- W2061423218 isRetracted "false" @default.
- W2061423218 magId "2061423218" @default.
- W2061423218 workType "article" @default.