Measures Invariant under the Geodesic Flow and their Projections

Details Measures Invariant under the Geodesic Flow and their Projections Measures Invariant under the Geodesic Flow and their Projections

2003-02-06

arxiv.org/abs/math/0302072v1

Mathematics

Differential Geometry

4 pages, To appear in Proc. Amer. Math. Soc

Scientific paper

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 $S^{2n}$.

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