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DISTRIBUTIONS ON ALMOST CONTACT MANIFOLDS

DISTRIBUTIONS ON ALMOST CONTACT MANIFOLDS

作     者:Hyunjoo CHO 

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.

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