4.1. H -Contact Manifolds
4.1.1. Contact Metric Manifolds
We start by reviewing a few facts of contact Riemannian geometry. Our main reference is the monograph
[42]
, yet we also rely on the exposition in
[286]
. Let
with the Cartesian coordinates
. A
contact transformation
is a local diffeomorphism of
preserving the 1-form
with the Cartesian coordinates
. A
contact transformation
is a local diffeomorphism of
preserving the 1-form
(4.1)
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