Back to results
University of Illinois at Urbana-Champaign
Transversely Holomorphic Flows on 3-Manifolds and Geodesible Vector Fields
Abstract
dc:descriptionOne considers a transversely holomorphic flow on a 3-dimensional manifold. We compute the second fundamental form of the normal distribution and we draw some conclusions, one of which is a global obstruction to the existence of transversely holomorphic flows on 3-manifolds; then an explicit form of the first Chern class of the normal bundle is given when the flow is Riemannian. We study the geodesibility of the projections of basic vector fields onto the normal bundle, in the regular and in the singular case. Finally the topology of the singularities of transversely meromorphic vector fields and meromorphic differential forms is studied.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Fawaz, Amine M.
- Contributors dc:contributor
-
- Tondeur, Philippe
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9912226
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86968