| dc.identifier.uri | http://hdl.handle.net/11401/76402 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | We study the problem of isometrically embedding a two-dimensional Riemannian manifold into Euclidean three-space. It is shown that if the Gaussian curvature vanishes to finite order and its zero set consists of two smooth curves tangent at a point, then local sufficiently smooth isometric embeddings exist. | |
| dcterms.available | 2017-09-20T16:50:10Z | |
| dcterms.contributor | Sun, Song | en_US |
| dcterms.contributor | Khuri, Marcus A. | en_US |
| dcterms.contributor | Chen, Xiuxiong | en_US |
| dcterms.contributor | Rachev, Svetlozar. | en_US |
| dcterms.creator | Lin, Tsung-Yin | |
| dcterms.dateAccepted | 2017-09-20T16:50:10Z | |
| dcterms.dateSubmitted | 2017-09-20T16:50:10Z | |
| dcterms.description | Department of Mathematics. | en_US |
| dcterms.extent | 64 pg. | en_US |
| dcterms.format | Monograph | |
| dcterms.format | Application/PDF | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/76402 | |
| dcterms.issued | 2015-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:50:10Z (GMT). No. of bitstreams: 1
Lin_grad.sunysb_0771E_12587.pdf: 427783 bytes, checksum: 190d61a693124e85ba55ab754fdaa5bb (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.subject | cusp, geometric analysis, isometric embedding, Nash-Moser iteration, partial differential equations | |
| dcterms.title | On the local isometric embedding in R^3 of surfaces with zero sets of Gaussian curvature forming cusp domains | |
| dcterms.type | Dissertation | |
