Almost contact metric structures defined by an $N$-prolonged connection

Sergey V. Galaev

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arXiv · 1506.01932

Almost contact metric structures defined by an $N$-prolonged connection

Sergey V. Galaev

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Abstract

On a manifold with an almost contact metric structure $(\varphi,\vec\xi,\eta,g,X,D)$ the notions of the interior and the $N$-prolonged connections are introduced. Using the $N$-prolonged connection, a new almost contact metric structure is defined on the distribution $D$. The properties of this structure are studied.

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Sergey V. Galaev. 2015-06-05. Almost contact metric structures defined by an $N$-prolonged connection. https://arxiv.org/abs/1506.01932

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