Authors: Berndt J.; Boeckx E.; Nagy P.T.; Vanhecke L.
Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 133, Number 6, 19 December 2003 , pp. 1209-1229(21)
Publisher: Royal Society of Edinburgh
Abstract:
A geodesic
on the unit tangent sphere bundle T1M of a Riemannian manifold (M, g), equipped with the Sasaki metric gS, can be considered as a curve x on M together with a unit vector field V along it. We study the curves x. In particular, we investigate for which manifolds (M, g) all these curves have constant first curvature 
1 or have vanishing curvature i for some i = 1, 2 or 3.
Document Type: Research article
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