On the geometry of tangent bundles of homogeneous spaces. (Russian) Zbl 0673.53027

Shirokov, A. P.

Tr. Geom. Semin. 18, 153-163 (1988).

It is known that in many cases tangent bundles of homogeneous spaces themselves can serve as a tool for constructing new homogeneous spaces. In the present paper the author considers from this point of view tangent bundles of second order of the one-dimensional projective space.

Reviewer: F.C.Klepp

MSC:

53C30

Differential geometry of homogeneous manifolds

Keywords:

tangent bundles; homogeneous spaces; projective space