Errata for the book:
Topics in Differential Geometry
Misprints and additions in the book:
Topics in Differential Geometry,
by Peter W. Michor
August, 2018
Please, send any other misprints to
<Peter.Michor@univie.ac.at>
- In 3.14 (2): whenever the left hand side is defined.
- In 3.15 (2): whenever the left hand side is defined.
- In 3.15 (3): $(\Fl^X_t\o \Fl^Y_s)(x) = (\Fl^Y_s\o \Fl^X_t)(x)$ for all
$(t,s,x)$ such that one side is
defined even along $[0,t]\x [0,s]$ for $t,s>0$, similarly for other cases.
Proof adapted, counterexample
added.
- In step 4 of the proof of 12.16 topological details added.
File here corrected.
- Proof of 6.5: Some details added.
- The proof of theorem 17.9 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.
- Many other smallmisprints and mistakes corrected in the file.