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Tondeur, Philippe Fawaz, Amine M. 2015-09-28T15:20:24Z 2015-09-28T15:20:24Z 10000-01-01 1998 1998 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. Made available in DSpace on 2015-09-28T15:20:24Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9912226.pdf: 2298545 bytes, checksum: 228bbd6074e422d034bdd66f30f040e4 (MD5) Previous issue date: 1998 Embargo set by: Seth Robbins for item 88249 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 50 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. http://hdl.handle.net/2142/86968 (MiAaPQ)AAI9912226 eng Mathematics Transversely Holomorphic Flows on 3-Manifolds and Geodesible Vector Fields text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.