Inverse Gauss curvature flow with boundary and its soliton
- 주제(키워드) Inverse Gauss curvature flow
- 발행기관 서강대학교 일반대학원
- 지도교수 Pak Tung Ho
- 발행년도 2021
- 학위수여년월 2021. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- UCI I804:11029-000000065694
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권보호를 받습니다.
초록/요약
In this thesis, we consider the spaces called the positive cone and negative cone. In each space, we define the geometric flow. We explore some properties of these spaces and these flows. Moreover, we consider the self-similar solutions(solitons). Then, along these solutions, Gauss curvature is constant except for one case in the positive cone. For the negative cone case, Gauss curvature is always constant along the self-similar solutions.
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