Proves that a class of skew products on the circle and Heisenberg nilmanifold are distal and Möbius-disjoint, verifying Sarnak's conjecture for these systems.
In view of Proposition 2.3, we should separately consider two cases, namely f ∈ A and f ∈ B
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M\"{o}bius disjointness for skew products on a circle and a nilmanifold
Proves that a class of skew products on the circle and Heisenberg nilmanifold are distal and Möbius-disjoint, verifying Sarnak's conjecture for these systems.