Pseudoconformal Curvature and the Embeddability of a CR Hypersurface

Under certain conditions on the codimension and curvature, the image of a Cauchy-Riemann, or CR, hypersurface of revolution under a CR embedding is proved to be totally geodesic. We also prove a similar statement for the image of a Kahler manifold under a holomorphic conformal embedding.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Houston

Year dc:date.issued

2014

Author dc:creator

• Lee, Brandon M. 1984-

Advisor dc:contributor.advisor

• Ji, Shanyu

Committee members dc:contributor.committeemember

• Heier, Gordon
• Huang, Stephen
• Ru, Min

• CR geometry
• Kahler Geometry

Statement dc:rights

• The author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/10657/686

OAI identifier oai:identifier

oai:uh-ir.tdl.org:10657/686