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 Title: Transversely Holomorphic Flows on 3-Manifolds and Geodesible Vector Fields Author(s): Fawaz, Amine M. Doctoral Committee Chair(s): Tondeur, Philippe Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: One 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. Issue Date: 1998 Type: Text Language: English Description: 50 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. URI: http://hdl.handle.net/2142/86968 Other Identifier(s): (MiAaPQ)AAI9912226 Date Available in IDEALS: 2015-09-28 Date Deposited: 1998
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