A Connection on Manifolds with a Nilpotent Structure

Details A Connection on Manifolds with a Nilpotent Structure A Connection on Manifolds with a Nilpotent Structure

2008-07-21

arxiv.org/abs/0807.3235v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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