@article {Berndt:19 December 2003:0308-2105:1209,
	author = "Berndt J.",
	author = "Boeckx E.",
	author = "Nagy P.T.",
	author = "Vanhecke L.",
	title = "Geodesics on the unit tangent bundle",
	journal = "Proceedings Section A: Mathematics - Royal Society of Edinburgh",
	volume = "133",
	year = "19 December 2003",
	abstract = "A geodesic <IMG SRC="/iso-ents/isogrk32/gamma-s.gif" ALT="gamma"> on the unit tangent sphere bundle <I>T</I><SUB>1</SUB><I>M</I> of a Riemannian manifold (<I>M, g</I>), equipped with the Sasaki metric <I>g<SUB>S</SUB></I>, can be considered as a curve <I>x</I> on <I>M</I> together with a unit vector field <I>V</I> along it. We study the curves <I>x</I>. In particular, we investigate for which manifolds (<I>M, g</I>) all these curves have constant first curvature <IMG SRC="/iso-ents/isogrk32/kappa-s.gif" ALT="kappa"><SUB>1</SUB> or have vanishing curvature <IMG SRC="/iso-ents/isogrk32/kappa-s.gif" ALT="kappa"><SUB>i</SUB> for some <I>i</I> = 1, 2 or 3.",
	pages = "1209-1229(21)",
	url = "http://www.ingentaconnect.com/content/rse/proca/2003/00000133/00000006/art00001"
}