Geometry of Pseudospheres II.

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dc.contributor.author Marshall, T.H. en
dc.date.accessioned 2009-08-28T03:22:04Z en
dc.date.available 2009-08-28T03:22:04Z en
dc.date.issued 1997-03 en
dc.identifier.citation Department of Mathematics - Research Reports-353 (1997) en
dc.identifier.issn 1173-0889 en
dc.identifier.uri http://hdl.handle.net/2292/5075 en
dc.description.abstract We investigate finite sequences of hyperplanes in a pseudosphere. To each such sequence we associate a square symmetric matrix, the Gram matrix, which gives information about angle and incidence properties of the hyperplanes. We find when a given matrix is the Gram matrix of some sequence of hyperplanes, and when a sequence is determined up to isometry by its Gram matrix. We also consider subspaces of pseudospheres and projections onto them. This leads to an n-dimensional cosine rule for spherical and hyperbolic simplices. en
dc.publisher Department of Mathematics, The University of Auckland, New Zealand en
dc.relation.ispartofseries Research Reports - Department of Mathematics en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.source.uri http://www.math.auckland.ac.nz/Research/Reports/view.php?id=353 en
dc.title Geometry of Pseudospheres II. en
dc.type Technical Report en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.rights.holder The author(s) en


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