Showing papers on "Unit tangent bundle published in 1989"
TL;DR: The Bowen-Margulis measure on the unit tangent bundle of the universal covering of a compact manifold of negative curvature is determined by its restriction to the leaves of the strong unstable foliation as mentioned in this paper.
Abstract: The Bowen-Margulis measure on the unit tangent bundle of the universal covering of a compact manifold of negative curvature is determined by its restriction to the leaves of the strong unstable foliation. We describe this restriction to any strong unstable manifold W as a spherical measure with respect to a natural distance on W.
90 citations
TL;DR: On the normal bundle of a submanifold in a Riemannian space, a natural Riemanian metric is introduced in this paper, and the structure of surfaces with strongly parabolic normal bundle metric is determined.
Abstract: On the normal bundle of a submanifold in a Riemannian space a natural Riemannian metric is introduced. The structure of surfaces with strongly parabolic normal bundle metric is determined. It is shown that the Sasaki metric of the normal bundle of vectors of fixed length of a two-dimensional Veronese surface has constant sectional curvature.Bibliography: 16 titles.
10 citations
TL;DR: In this paper, the authors showed that the C∞ complexified tangent bundle of any sphere is trivializable and gave an elementary approach to the existence conditions for spinor structures on spheres and projective spaces.
3 citations