Manifolds with positive curvature operator양의 곡률 연산자를 가지는 다양체

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In his paper [5], Hamilton introduced the Ricci flow equation in order to prove that a compact three-manifold admitting a Riemannian metric of positive Ricci curvature is a spherical space form. In case of dimension four, Hamilton showed in [6] that compact four-manifold with positive curvature operator are spherical space form as well. Furthermore, Hamilton conjectured that in all dimensions compact Riemannian manifolds with positive curvature operators must be space forms. In this thesis, we give a survey of a recent resolution of this conjecture by $B\ddot{o} em$ and Wilking in [7] and some applications.
Advisors
Kim, Jin-Hongresearcher김진홍researcher
Description
한국과학기술원 : 수리과학과,
Publisher
한국과학기술원
Issue Date
2009
Identifier
327291/325007  / 020073212
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2009. 8., [ vi, 26 p. ]

Keywords

Positive; Curvature; Operator; 곡률; 연산자; Positive; Curvature; Operator; 곡률; 연산자

URI
http://hdl.handle.net/10203/42215
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=327291&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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