In the published version of the paper:
On page 3 (page 26/27 in the printed version) in the geodesic equation in the form of
$c_{tt}=\dots$ the expression
$-\overline{\langle\langle D_s c_t, v\rangle\rangle}$
should be
$+\overline{\langle D_s c_t,v\rangle}$.
Similarly in the geodesic equation $u_t = \dots$
some lines further down.
On page 32/33 (page 55 in the printed version) the last minus in equation (23) should be a plus.
On page 33 in Theorem 7.2: "For each $k \ge 3/2$" should be "For each $k \ge 3$".
The version on Peter Michor's homepage has not yet been corrected.