It is well known that a $4n$-dimensional Euclidean space has a parallel quaternion Kaehler structure, and the hypersurface of this space has an almost 3-contact metric structure. This article investigates the non-existence of stable integral currents on compact contact 3-CR-submanifold and gives vanishing theorems concerning the homology groups of such submanifolds.

中文翻译：

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几乎 3 接触超曲面的接触 3-CR 子流形的同源性

众所周知，一个 $4n$一维欧几里得空间具有平行四元数凯勒结构，该空间的超曲面具有近乎3接触的度量结构。本文研究了紧密接触 3-CR 子流形上不存在稳定的积分电流，并给出了关于此类子流形的同源群的消失定理。