Term of Award
Spring 2010
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Yi Lin
Committee Member 1
Xiangdong Xie
Committee Member 2
Francois Ziegler
Abstract
A generalized complex structure, as introduced by N. Hitchin, is a common generalization of both symplectic and complex structures. Generalized complex geometry provides a natural geometric framework to understand certain recent developments in string physics, and has developed into an active area of research. Very recently, an odd dimensional analogue of a generalized complex structure, namely a generalized contact structure, has been introduced in the works of Vaizman, Poon and Wade. In this thesis, we survey the recent works on generalized contact structures. More importantly, we prove a local normal form theorem of a generalized contact structure. This result, which is a joint work with Yi Lin, is original.
Recommended Citation
Bland, James, "Survey of Generalized Contact Structures" (2010). Electronic Theses and Dissertations. 656.
https://digitalcommons.georgiasouthern.edu/etd/656
Research Data and Supplementary Material
No
