Homology of contact CR-submanifolds

Abstract

In this paper, homology of a contact CR-submanifold of a real hypersurface, which has naturally almost contact metric structure induced from the complex Euclidean space ${\mathbb{C}}^m$, is examined. More precisely, nonexistence of stable integral currents on a compact contact CR-submanifold of real hypersurface of canonical complex space form ${\mathbb{C}}^m$ is investigated and vanishing theorems concerning the homology groups are obtained.

arXiv comment13 pages, To appear in FILOMAT