Highly symmetric homogeneous Kobayashi-hyperbolic manifolds
| dc.contributor.advisor | Larusson, Finnur | |
| dc.contributor.advisor | Leistner, Thomas | |
| dc.contributor.author | Herrington, Elliot Michael | |
| dc.contributor.school | School of Mathematical Sciences | en |
| dc.date.issued | 2021 | |
| dc.description.abstract | Kobayashi-hyperbolic manifolds are an important and well-studied class of complex manifolds defined by the property that the Kobayashi pseudodistance is a true distance. Such manifolds that have automorphism group of sufficiently high dimension can be classified up to biholomorphism, and the goal of this thesis is to continue the classification of homogeneous Kobayashihyperbolic manifolds started by Alexander Isaev in the early 2000s. We settle the classification of such manifolds with automorphism group dimensions n2 − 7 and n2 − 8, where n is the dimension of the manifold. We do so by analysing the Lie algebra of the automorphism group of a Siegel domain of the second kind corresponding to a homogeneous Kobayashi-hyperbolic manifold of a given automorphism group dimension. | en |
| dc.description.dissertation | Thesis (Ph.D.) -- University of Adelaide, School of Mathematical Sciences, 2021 | en |
| dc.identifier.uri | https://hdl.handle.net/2440/133439 | |
| dc.language.iso | en | en |
| dc.provenance | This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals | en |
| dc.subject | Complex analysis | en |
| dc.subject | geometry | en |
| dc.subject | Kobayashi-hyperbolic | en |
| dc.subject | homogeneous | en |
| dc.subject | automorphism group | en |
| dc.subject | Siegel domain | en |
| dc.title | Highly symmetric homogeneous Kobayashi-hyperbolic manifolds | en |
| dc.type | Thesis | en |
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