DSpace Repository

On the local isometric embedding in R^3 of surfaces with zero sets of Gaussian curvature forming cusp domains

Show simple item record

dc.contributor.advisor Khuri, Marcus A. en_US
dc.contributor.advisor Chen, Xiuxiong en_US
dc.contributor.author Lin, Tsung-Yin en_US
dc.contributor.other Department of Mathematics. en_US
dc.date.accessioned 2017-09-20T16:50:10Z
dc.date.available 2017-09-20T16:50:10Z
dc.date.issued 2015-12-01 en_US
dc.identifier.uri http://hdl.handle.net/11401/76402 en_US
dc.description 64 pg. en_US
dc.description.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. en_US
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 en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Mathematics en_US
dc.subject.other cusp, geometric analysis, isometric embedding, Nash-Moser iteration, partial differential equations en_US
dc.title On the local isometric embedding in R^3 of surfaces with zero sets of Gaussian curvature forming cusp domains en_US
dc.type Dissertation en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Sun, Song en_US
dc.contributor.committeemember Rachev, Svetlozar. en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account