A Survey on a Classical Result in the Studies of Minimal Submanifolds

碩士 === 國立交通大學 === 應用數學系所 === 107 === The famous result on minimal submanifolds in a unit sphere of higher dimension due to S.S. Chern, M. Do Carmo, and S. Kobayashi has two assertions. One assertion is about the length of the second fundamental form which is a constant under some restrictions, and t...

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Main Authors:	Yang, Chung-Hao, 羊崇豪
Other Authors:	Chan, Chi-Hin
Format:	Others
Language:	en_US
Published:	2019
Online Access:	http://ndltd.ncl.edu.tw/handle/3vg3nx

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spelling	ndltd-TW-107NCTU55070272019-11-26T05:16:52Z http://ndltd.ncl.edu.tw/handle/3vg3nx A Survey on a Classical Result in the Studies of Minimal Submanifolds 最小子流形研究之一經典結果概述 Yang, Chung-Hao 羊崇豪碩士國立交通大學應用數學系所 107 The famous result on minimal submanifolds in a unit sphere of higher dimension due to S.S. Chern, M. Do Carmo, and S. Kobayashi has two assertions. One assertion is about the length of the second fundamental form which is a constant under some restrictions, and the other assertion is about there exist two types of minimal submanifolds satisfying the constant which is mentioned on the former assertion. In this thesis, we try our best to understand the assertions which are the main mathematical result due to the above mentioned mathematicians and to present all minute details in the mathematical arguments, so that our thesis could serve as a guideline (or a steppingstone) for any potential beginning reader who is interested in taking a first look at such a classical result in the area of minimal submanifold. Chan, Chi-Hin 陳子軒 2019 學位論文 ; thesis 40 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立交通大學 === 應用數學系所 === 107 === The famous result on minimal submanifolds in a unit sphere of higher dimension due to S.S. Chern, M. Do Carmo, and S. Kobayashi has two assertions. One assertion is about the length of the second fundamental form which is a constant under some restrictions, and the other assertion is about there exist two types of minimal submanifolds satisfying the constant which is mentioned on the former assertion. In this thesis, we try our best to understand the assertions which are the main mathematical result due to the above mentioned mathematicians and to present all minute details in the mathematical arguments, so that our thesis could serve as a guideline (or a steppingstone) for any potential beginning reader who is interested in taking a first look at such a classical result in the area of minimal submanifold.
author2	Chan, Chi-Hin
author_facet	Chan, Chi-Hin Yang, Chung-Hao 羊崇豪
author	Yang, Chung-Hao 羊崇豪
spellingShingle	Yang, Chung-Hao 羊崇豪 A Survey on a Classical Result in the Studies of Minimal Submanifolds
author_sort	Yang, Chung-Hao
title	A Survey on a Classical Result in the Studies of Minimal Submanifolds
title_short	A Survey on a Classical Result in the Studies of Minimal Submanifolds
title_full	A Survey on a Classical Result in the Studies of Minimal Submanifolds
title_fullStr	A Survey on a Classical Result in the Studies of Minimal Submanifolds
title_full_unstemmed	A Survey on a Classical Result in the Studies of Minimal Submanifolds
title_sort	survey on a classical result in the studies of minimal submanifolds
publishDate	2019
url	http://ndltd.ncl.edu.tw/handle/3vg3nx
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A Survey on a Classical Result in the Studies of Minimal Submanifolds

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