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On Two Problems in Analysis on Manifolds
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | On Two Problems in Analysis on Manifolds. |
| 개인저자 | Lu, Jinpeng. |
| 단체저자명 | The Pennsylvania State University. Mathematics. |
| 발행사항 | [S.l.]: The Pennsylvania State University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 58 p. |
| 기본자료 저록 | Dissertations Abstracts International 80-12B. Dissertation Abstract International |
| ISBN | 9781392318713 |
| 학위논문주기 | Thesis (Ph.D.)--The Pennsylvania State University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 80-12, Section: B.
Publisher info.: Dissertation/Thesis. Advisor: Burago, Dmitri. |
| 요약 | This dissertation contains meaningful results on two problems.1. I prove that the spectrum of the Laplace-Beltrami operator with the Neumann boundary condition on a compact Riemannian manifold with boundary admits a fast approximation by the spectra of suitable graph Laplacians on the manifold, and more generally similar graph approximation works for metric-measure spaces which are glued out of compact Riemannian manifolds of the same dimension.2. Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
