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Title: Geodesics on the unit tangent bundle
Authors: Berndt, J ×
Boeckx, Eric
Nagy, PT
Vanhecke, Lieven #
Issue Date: 2003
Publisher: Royal soc edinburgh
Series Title: Proceedings of the royal society of edinburgh section a-mathematics vol:133 pages:1209-1229
Abstract: A geodesic gamma on the unit tangent sphere bundle T1M of a Riemannian manifold (M, g), equipped with the Sasaki metric g(S), 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 kappa(1) or have vanishing curvature kappa(i) for some i = 1, 2 or 3.
ISSN: 0308-2105
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
Mathematics - miscellaneous
× corresponding author
# (joint) last author

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