dc.contributor.advisor | Landsberg, Joseph M | |
dc.contributor.advisor | Zelenko, Igor | |
dc.creator | Porter, Curtis Wade | |
dc.date.accessioned | 2016-09-16T15:26:09Z | |
dc.date.available | 2018-08-01T05:58:14Z | |
dc.date.created | 2016-08 | |
dc.date.issued | 2016-06-03 | |
dc.date.submitted | August 2016 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/157877 | |
dc.description.abstract | We apply E. Cartan’s method of equivalence to classify 7-dimensional, 2-nondegenerate CR manifolds M up to local CR equivalence in the case that the cubic form of M satisfies a certain symmetry property with respect to the Levi form of M. The solution to the equivalence problem is given by a parallelism on a principal bundle over M which takes values in su(2, 2) or su(3, 1), depending on the signature of the nondegenerate part of the Levi form. Differentiating this parallelism provides a complete set of local invariants of M. We exhibit an explicit example of a real hypersurface in C^4 whose invariants are nontrivial. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.subject | CR geometry | en |
dc.subject | method of equivalence | en |
dc.subject | exterior differential systems | en |
dc.title | The Local Equivalence Problem for 7-dimensional, 2-nondegenerate CR Manifolds whose Cubic Form is of Conformal Unitary Type | en |
dc.type | Thesis | en |
thesis.degree.department | Mathematics | en |
thesis.degree.discipline | Mathematics | en |
thesis.degree.grantor | Texas A & M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.level | Doctoral | en |
dc.contributor.committeeMember | Robles, Colleen | |
dc.contributor.committeeMember | Becker, Melanie | |
dc.contributor.committeeMember | Boas, Harold | |
dc.contributor.committeeMember | Lima-Filho, Paulo | |
dc.type.material | text | en |
dc.date.updated | 2016-09-16T15:26:09Z | |
local.embargo.terms | 2018-08-01 | |
local.etdauthor.orcid | 0000-0001-5821-769X | |