Errata for the book:
Natural operations in differential geometry
Misprints in the book:
Natural operations in differential geometry,
by Kolár, Ivan; Slovák, Jan; Michor, Peter W.
August 14, 1997
Please, send any other misprints to
<Peter.Michor@esi.ac.at>

p 70, Lemma 8.6 second equation, a sign mistake:
$[i_L,\Cal L_K] = \Cal L(i_LK) + (1)^{k}i([L,K])$

p 79: Lemma 9.7 could be clearer. After the lemma, insert the sentences:
By $[\Gamma^\alpha,\Gamma^\alpha]_{\frak X(S)}$ we just mean the 2form
$(\xi,\eta)\mapsto [\Gamma^\alpha(\xi),\Gamma^\alpha(\eta)] \in \frak X(S)$.
See 11.2 for the more sophisticated expression
$\frac 12 [\Gamma^\alpha,\Gamma^\alpha]_\wedge$.

p 102: (7) a sign mistake
... so $\Gamma^\alpha(\xi_x) =  R_{\omega_\alpha(\xi_x)}$

p 103: (10) a sign mistake
Then we have $\zeta_{d_\omega\psi} =  [\Phi,\zeta_\psi]$.

p 105: in the last display of the proof of (10):
put $$ in front of all 3 expressions.

p 306 line 17
As in step 1 we see ...
After July 23, 2003

p 40 line14: a sign mistake in the last expression for the
BakerCampbellHausdorff formula:
$= X + Y + \tfrac12[X,Y] +\tfrac1{12}([X,[X,Y]]+[Y,[Y,X]]) + \cdots$

p 5 line 8: Replace `separable' by `$\sigma$compact (a countable union of
compact subsets); equivalently second contable.'
A counterexample for separable is in:
[Mary Ellen Rudin. Two nonmetrizable manifolds. Topology and its Appl.,
35:137152, 1990]