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arXiv · 2107.12903

Homology of contact CR-submanifolds

Fulya Sahin·Bayram Sahin
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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.

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Fulya Sahin, Bayram Sahin. 2021-07-19. Homology of contact CR-submanifolds. https://arxiv.org/abs/2107.12903

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