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arXiv · 0807.3235

A Connection on Manifolds with a Nilpotent Structure

Asen Hristov
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Abstract

All the connections, pure toward the nilpotent structure, are found. Examples of manifolds, for which the curvature tensor is pure or hybrid, are given. For a manifold of B-type a necessary and sufficient condition for purity of the curvature tensor is proved. It is verified that the conformal change of the metric of a B-manifold does not retain its purity.

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Asen Hristov. 2008-07-21. A Connection on Manifolds with a Nilpotent Structure. https://arxiv.org/abs/0807.3235

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