NATURAL OPERATIONS IN DIFFERENTIAL GEOMETRY Ivan Kol´ˇ ar Peter W. Michor Jan Slov´k a Mailing address: Peter W. Michor, Institut f¨r Mathematik der Universit¨t Wien, u a Strudlhofgasse 4, A-1090 Wien, Austria. Ivan Kol´ˇ, Jan Slov´k, ar a Department of Algebra and Geometry Faculty of Science, Masaryk University Jan´ˇkovo n´m 2a, CS-662 95 Brno, Czechoslovakia ac a Electronic edition. Originally published by Springer-Verlag, Berlin Heidelberg 1993, ISBN 3-540-56235-4, ISBN 0-387-56235-4. Typeset by AMS-TEX .v TABLE OF CONTENTS PREFACE . . . . . . . . . . . . . . . . . . . . . . . . CHAPTER I. MANIFOLDS AND LIE.