Non-existence of flat paracontact metric structures in dimension greater than or equal to five

Details Non-existence of flat paracontact metric structures in dimension greater than or equal to five Non-existence of flat paracontact metric structures in dimension greater than or equal to five

2009-10-30

arxiv.org/abs/0910.5838v1

Mathematics

Differential Geometry

7 pages, no figures

Scientific paper

An example of a three dimensional flat paracontact metric manifold with
respect to Levi-Civita connection is constructed. It is shown that no such
manifold exists for odd dimensions greater than or equal to five.

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