Measures Invariant under the Geodesic Flow and their Projections
Abstract
Description
Let $S^{n}$ be the $n$-sphere of constant positive curvature. For $n \geq 2$, we will show that a measure on the unit tangent bundle of $S^{2n}$, which is even and invariant under the geodesic flow, is not uniquely determined by its projection to $S^{2n}$.
4 pages, To appear in Proc. Amer. Math. Soc
4 pages, To appear in Proc. Amer. Math. Soc