Misprints in the book:
Natural operations in differential geometry,
by Kolár, Ivan; Slovák, Jan; Michor, Peter W.

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 2-form $(\xi,\eta)\mapsto [\Gamma^\alpha(\xi),\Gamma^\alpha(\eta)] \in \frak X(S)$. 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 ...

• p 40 line14: a sign mistake in the last expression for the Baker-Campbell-Hausdorff 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., 35:137-152, 1990]
• p 81: The proof of theorem 9.9 is wrong: The proof relied on the assumption that fibered metrics are closed under convex combinations. This, however, is not the case.
  The mistake was found and corrected in:
  Matias del Hoyo: Complete connections on fiber bundles, Indagationes Mathematicae 27 (2016) 985–990. doi:10.1016/j.indag.2016.06.009. arXiv:1512.03847.
  This is not yet corrected in the file here.