Аннотация:
This paper introduces the notion of robust hyperbolicity along periodic orbits
homoclinically related to
$p$
(RNUHP) for conservative diffeomorphisms.
It is proved that if
$f \in Diff_m ^{1+} (M)$
is RNUHP, then
$f$
is Anosov.
It is
also shown that
$f$
admits a dominated splitting, provided that
$f$
is expansive
conservative stable.
