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

Sergey V. Galaev

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

Differential Geometry 2015-06-08 v1

Authors: Sergey V. Galaev

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.

Keywords

almost contact manifolds contact geometry metric spaces

Cite

@article{arxiv.1506.01932,
  title  = {Almost contact metric structures defined by an $N$-prolonged connection},
  author = {Sergey V. Galaev},
  journal= {arXiv preprint arXiv:1506.01932},
  year   = {2015}
}

Comments

9 pages. arXiv admin note: substantial text overlap with arXiv:1301.2787

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