Author:

Keywords:

unit tangent sphere bundles, constant scalar curvature, (curvature) homogeneity, contact homogeneity, reflections with respect to curves, geodesic flow, minimal and harmonic vector fields, contact metric-spaces, vector-fields, curvature, volumes, Science & Technology, Physical Sciences, Mathematics, CONTACT METRIC-SPACES, VECTOR-FIELDS, CURVATURE, VOLUMES, 0101 Pure Mathematics, General Mathematics, 4904 Pure mathematics

Abstract:

We review some aspects of the geometry of the tangent bundle and the unit tangent sphere bundle of a Riemannian manifold and focus on the relationship between this geometry and that of the manifold.