On geodesics of Berger tangent sphere bundle of Hermitian locally symmetric manifold

Details On geodesics of Berger tangent sphere bundle of Hermitian locally symmetric manifold On geodesics of Berger tangent sphere bundle of Hermitian locally symmetric manifold

2007-06-22

arxiv.org/abs/0706.3298v1

Mathematics

Differential Geometry

13 pages

Scientific paper

We propose a special deformation of the Sasaki metric on tangent and unit tangent bundle of a Hermitian locally symmetric manifold. Geodesics of this deformed metric have different projections on a base manifold for tangent or unit tangent bundle cases in contrast to usual Sasaki metric. Nevertheless, the projections of geodesics of the unit tangent bundle still preserve the property to have all geodesic curvatures constant.

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