Matches in SemOpenAlex for { <https://semopenalex.org/work/W2167603501> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2167603501 endingPage "1022" @default.
- W2167603501 startingPage "997" @default.
- W2167603501 abstract "The first aim of the present paper is to compare various sub-Riemannian structures over the three dimensional sphere $S^3$ originating from different constructions. Namely, we describe the sub-Riemannian geometry of $S^3$ arising through its right action as a Lie group over itself, the one inherited from the natural complex structure of the open unit ball in $mathbb{C}^2$ and the geometry that appears when it is considered as a principal $S^1$-bundle via the Hopf map. The main result of this comparison is that in fact those three structures coincide. We present two bracket generating distributions for the seven dimensional sphere $S^7$ of step 2 with ranks 6 and 4. The second one yields to a sub-Riemannian structure for $S^7$ that is not widely present in the literature until now. One of the distributions can be obtained by considering the CR geometry of $S^7$ inherited from the natural complex structure of the open unit ball in $mathbb{C}^4$. The other one originates from the quaternionic analogous of the Hopf map." @default.
- W2167603501 created "2016-06-24" @default.
- W2167603501 creator A5033739739 @default.
- W2167603501 creator A5063920482 @default.
- W2167603501 date "2011-01-01" @default.
- W2167603501 modified "2023-09-26" @default.
- W2167603501 title "Sub-Riemannian geometry of parallelizable spheres" @default.
- W2167603501 cites W1486223302 @default.
- W2167603501 cites W1512416545 @default.
- W2167603501 cites W1538313723 @default.
- W2167603501 cites W1564683965 @default.
- W2167603501 cites W1679919844 @default.
- W2167603501 cites W1849832765 @default.
- W2167603501 cites W194558086 @default.
- W2167603501 cites W1965743188 @default.
- W2167603501 cites W1973418710 @default.
- W2167603501 cites W1985820950 @default.
- W2167603501 cites W1994897752 @default.
- W2167603501 cites W1999527701 @default.
- W2167603501 cites W2005066329 @default.
- W2167603501 cites W2026986224 @default.
- W2167603501 cites W2042424194 @default.
- W2167603501 cites W2052394694 @default.
- W2167603501 cites W2055340683 @default.
- W2167603501 cites W2063235932 @default.
- W2167603501 cites W2116314144 @default.
- W2167603501 cites W2152887332 @default.
- W2167603501 cites W2288769728 @default.
- W2167603501 cites W2326898909 @default.
- W2167603501 cites W2600604505 @default.
- W2167603501 cites W2906559642 @default.
- W2167603501 cites W2951503374 @default.
- W2167603501 doi "https://doi.org/10.4171/rmi/661" @default.
- W2167603501 hasPublicationYear "2011" @default.
- W2167603501 type Work @default.
- W2167603501 sameAs 2167603501 @default.
- W2167603501 citedByCount "10" @default.
- W2167603501 countsByYear W21676035012012 @default.
- W2167603501 countsByYear W21676035012013 @default.
- W2167603501 countsByYear W21676035012016 @default.
- W2167603501 countsByYear W21676035012017 @default.
- W2167603501 countsByYear W21676035012019 @default.
- W2167603501 countsByYear W21676035012020 @default.
- W2167603501 countsByYear W21676035012021 @default.
- W2167603501 crossrefType "journal-article" @default.
- W2167603501 hasAuthorship W2167603501A5033739739 @default.
- W2167603501 hasAuthorship W2167603501A5063920482 @default.
- W2167603501 hasBestOaLocation W21676035011 @default.
- W2167603501 hasConcept C121332964 @default.
- W2167603501 hasConcept C1276947 @default.
- W2167603501 hasConcept C134306372 @default.
- W2167603501 hasConcept C148047603 @default.
- W2167603501 hasConcept C181104567 @default.
- W2167603501 hasConcept C202444582 @default.
- W2167603501 hasConcept C2524010 @default.
- W2167603501 hasConcept C33923547 @default.
- W2167603501 hasConcept C72422203 @default.
- W2167603501 hasConceptScore W2167603501C121332964 @default.
- W2167603501 hasConceptScore W2167603501C1276947 @default.
- W2167603501 hasConceptScore W2167603501C134306372 @default.
- W2167603501 hasConceptScore W2167603501C148047603 @default.
- W2167603501 hasConceptScore W2167603501C181104567 @default.
- W2167603501 hasConceptScore W2167603501C202444582 @default.
- W2167603501 hasConceptScore W2167603501C2524010 @default.
- W2167603501 hasConceptScore W2167603501C33923547 @default.
- W2167603501 hasConceptScore W2167603501C72422203 @default.
- W2167603501 hasLocation W21676035011 @default.
- W2167603501 hasLocation W21676035012 @default.
- W2167603501 hasLocation W21676035013 @default.
- W2167603501 hasLocation W21676035014 @default.
- W2167603501 hasOpenAccess W2167603501 @default.
- W2167603501 hasPrimaryLocation W21676035011 @default.
- W2167603501 hasRelatedWork W1651910053 @default.
- W2167603501 hasRelatedWork W181146487 @default.
- W2167603501 hasRelatedWork W1982721751 @default.
- W2167603501 hasRelatedWork W2039321644 @default.
- W2167603501 hasRelatedWork W2161258280 @default.
- W2167603501 hasRelatedWork W2951455934 @default.
- W2167603501 hasRelatedWork W3102711484 @default.
- W2167603501 hasRelatedWork W4221151795 @default.
- W2167603501 hasRelatedWork W4300786176 @default.
- W2167603501 hasRelatedWork W4226070078 @default.
- W2167603501 isParatext "false" @default.
- W2167603501 isRetracted "false" @default.
- W2167603501 magId "2167603501" @default.
- W2167603501 workType "article" @default.