dc.creatorCao W.
dc.date2016
dc.date2017-08-17T19:14:03Z
dc.date2017-08-17T19:14:03Z
dc.date.accessioned2018-03-29T05:20:19Z
dc.date.available2018-03-29T05:20:19Z
dc.identifierGeometriae Dedicata. Springer Netherlands, v. 180, n. 1, p. 203 - 228, 2016.
dc.identifier0046-5755
dc.identifier10.1007/s10711-015-0099-z
dc.identifierhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84955693110&doi=10.1007%2fs10711-015-0099-z&partnerID=40&md5=9e1fdc791676599a688bc77d76ccbf5b
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/323421
dc.identifier2-s2.0-84955693110
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1357584
dc.descriptionAn important problem in quaternionic hyperbolic geometry is to classify ordered m-tuples of pairwise distinct points in the closure of quaternionic hyperbolic n-space, (Formula presented.), up to congruence in the holomorphic isometry group PSp(n,1) of (Formula presented.). In this paper we concentrate on two cases: m=3 in (Formula presented.) and m=4 on (Formula presented.) for n≥2. New geometric invariants and several distance formulas in quaternionic hyperbolic geometry are introduced and studied for this problem. The congruence classes are completely described by quaternionic Cartan’s angular invariants and the distances between some geometric objects for the first case. The moduli space is constructed for the second case. © 2015, Springer Science+Business Media Dordrecht.
dc.description180
dc.description1
dc.description203
dc.description228
dc.descriptionNSFC, National Natural Science Foundation of China
dc.languageEnglish
dc.publisherSpringer Netherlands
dc.relationGeometriae Dedicata
dc.rightsfechado
dc.sourceScopus
dc.subjectCongruence Class
dc.subjectGram Matrix
dc.subjectModuli Space
dc.subjectQuaternionic Cartan’s Angular Invariant
dc.subjectQuaternionic Cross-ratio
dc.titleCongruence Classes Of Points In Quaternionic Hyperbolic Space
dc.typeArtículos de revistas


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