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math.CA2026
Some constructions of restricted Kakeya sets
Cheng Chen, Jianbin Li, Longhui Li +4
In this paper, we consider Kakeya sets with the additional restriction that centers of the unit line segments belong to a given set. In particular, for every uncountable Borel set…
math.CA2026
On unions of geodesics and projections of invariant sets
Longhui Li
Let be a -dimensional complete Riemannian manifold and let denote the canonical projection from the unit tangent bundle. We prove that if is a s…