切触5-流形中的殆复结构与校正积分环
Almost complex structures and calibrated integral cycles in contact 5-manifolds
摘要：
在接触流形（M^5，α）中，我们考虑殆复结构J，对于水平分布中的任何向量v，它满足d α（v，Jv）= 0。我们证明了积分周期的近似切面具有J-不变的属性，实际上是光滑的勒让德曲线，除了可能在孤立的点，我们调查如何这样的结构J有关的校准。
英文摘要：
In a contact manifold (M^5, alpha), we consider almost complex structures J which satisfy, for any vector v in the horizontal distribution, d alpha (v,Jv) = 0. We prove that integral cycles whose approximate tangent planes have the property of being J-invariant are in fact smooth Legendrian curves except possibly at isolated points and we investigate how such structures J are related to calibrations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
