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    On the canonical extension of a differentiable manifold
    (Birkhauser Verlag Basel, 2000) Yildirim M.; Esin E.
    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.