DISTRIBUTIONS ON ALMOST CONTACT MANIFOLDS
DISTRIBUTIONS ON ALMOST CONTACT MANIFOLDS作者机构:National Center for Theoretical Sciences Mathematics Division Taipei 10617 China
出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))
年 卷 期:2017年第37卷第3期
页 面:695-702页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Almost contact structure contact structure G2-structure foliation integra-bility
摘 要:It is known that any hypersurface in an almost complex space admits an almost contact manifold [11, 14]. In this article we show that a hyperplane in an almost contact manifold has an almost complex structure. Along with this result, we explain how to deter- mine when an almost contact structure induces a contact structure, followed by examples of a manifold with a closed G2-structure.