Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold

Abstract

We give a full description of totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold of constant curvature and present a new class of a cylinder-type totally geodesic submanifolds in the general case.

Matematicheskaya fizika, analiz, geometriya - to appear

References in corpus (2)

• On the intrinsic geometry of a unit vector field
• Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds