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Faculty of Graduate Studies and Research, University of Regina
Compact Homogeneous Leviflat CR-Manifolds
Abstract
dc:description.abstractWe consider compact Leviflat homogeneous CR-manifolds. In this setting the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context. We then combine the projective and parallelizable cases using the fact that every homogeneous CR-manifold is a homogeneous CR-fiber bundle, the so-called CR-normalizer fibration, consisting of a projective base and a parallelizable fiber. In codimensions one and two we also give a classification.
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Grantor dc:publisher
- Faculty of Graduate Studies and Research, University of Regina
- Year dc:date.issued
- 2020
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Al-Abdallah, Abdel Rahman
- Advisor dc:contributor.advisor
-
- Gulligan, Bruce
- Committee members dc:contributor.committeemember
-
- Hamilton, Howard
- Herman, Allan
- Mare, Augustin
Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:uregina.scholaris.ca:10294/9300