Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/484
Full metadata record
DC FieldValueLanguage
dc.contributor.authorThomas, Cigole-
dc.contributor.otherGongopadhyay, Krishnendu-
dc.date.accessioned2015-07-08T09:16:06Z-
dc.date.available2015-07-08T09:16:06Z-
dc.date.issued2015-07-08-
dc.identifier.urihttp://hdl.handle.net/123456789/484-
dc.description.abstractIn a recent work, Basmajian and Maskit have investigated the problem of nding involution and commutator lengths of the isometry group of real space forms. In this thesis we aim to investigate the problem for isometry group of the complex hyperbolic space. A k-re ection of the n-dimensional complex hyperbolic space Hn C is an element in U(n; 1) with negative type eigenvalue , j j = 1, of multiplicity k+1 and positive type eigenvalue 1 of multiplicity n 􀀀 k. We prove that every element in SU(n) is a product of atmost ve involutions using which it can be shown that a holomorphic isometry of Hn C is a product of at most four involutions and a complex k-re ection, k 2. We also give a short proof of the well-known result that every holomorphic isometry of Hn C is a product of two anti-holomorphic involutions.en_US
dc.description.sponsorshipIISER Men_US
dc.language.isoenen_US
dc.publisherIISER Men_US
dc.subjectComplex Hyperbolic Geometryen_US
dc.subjectMathematicsen_US
dc.subjectGeometryen_US
dc.titleDecomposition of Complex Hyperbolic Isometries by Involutionsen_US
dc.typeThesisen_US
Appears in Collections:MS-10

Files in This Item:
File Description SizeFormat 
MS10029.pdf22.4 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.