Jacobi Structures And Differential Forms On Contact Quotients
| dc.contributor.author | Mahmood, Fatima | en_US |
| dc.contributor.chair | Sjamaar, Reyer | en_US |
| dc.contributor.committeeMember | Berest, Yuri | en_US |
| dc.contributor.committeeMember | Holm, Tara S. | en_US |
| dc.date.accessioned | 2013-01-31T19:46:33Z | |
| dc.date.available | 2013-01-31T19:46:33Z | |
| dc.date.issued | 2012-08-20 | en_US |
| dc.description.abstract | In the first part of this thesis, we generalize the notion of a Jacobi bracket on the algebra of smooth functions on a manifold to the notion of a Jacobi bracket on an abstract commutative algebra. We also prove certain useful properties of the Jacobi structure on a contact manifold. In the second part of this thesis, we develop a de Rham model for stratified spaces resulting from contact reduction. We show that the contact form induces a form on the quotient, and investigate the properties of the reduced contact form. We also describe a Jacobi bracket on the algebra of 0-forms on the singular contact quotient. | en_US |
| dc.identifier.other | bibid: 7959749 | |
| dc.identifier.uri | https://hdl.handle.net/1813/31208 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Contact Geometry | en_US |
| dc.subject | Jacobi Structures | en_US |
| dc.title | Jacobi Structures And Differential Forms On Contact Quotients | en_US |
| dc.type | dissertation or thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Cornell University | en_US |
| thesis.degree.level | Doctor of Philosophy | |
| thesis.degree.name | Ph. D., Mathematics |
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