On the canonical extension of a differentiable manifold
Özet
In this paper, the differential geometry of second canonical extension 2M of a differentiable manifold M is studied. Some vector fields tangent to 2M in TTM are determined. In addition we obtain that the second canonical extensions of M and a totally geodesic submanifold in M are totally geodesic submanifolds in TTM and 2M respectively. © Birkhauser Verlag, 2000.