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Existence of almost complex structure of 4-manifold

Title
Existence of almost complex structure of 4-manifold
Authors
조현주
Issue Date
1999
Department/Major
대학원 수학과
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
M이 컴팩트이고 유향인 리만 4차원 다양체일 때, almost 복소구조를 갖기 위한 장애다발(obstruction bundle)을 구성하고 M의 almost 복소구조가 M의 방향에 따라 의존함을 CP²의 예를 통해 보인다. ; Let M be a compact, oriented, Riemannian 4-manifold. Let TM be the tangent bundle of M and let ε associated SO(4) - principal bundle on M. We would like to introduce an associated bundle ε Which haS fiber SO(4) /SO(2)×SO(2)( S²× S²). We will show that the bundle is the obstruction bundle for the existence of almost complex structure on M and that the existence of almost complex structure on M depends on the orientations of M.
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일반대학원 > 수학과 > Theses_Master
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