... CzechoslovakiaElectronic edition. Originally published by Springer-Verlag, Berlin Heidelberg1993, ISBN 3-5 4 0-5 623 5-4 , ISBN 0-3 8 7-5 623 5-4 .Typeset by AMS-TEX3. Vector fields and flows 17 In a local chart (U, ... Natural Operations in Differential Geometry, Springer-Verlag, 1993NATURALOPERATIONS IN DIFFERENTIAL GEOMETRY Ivan Kol´aˇrPeter W. MichorJan Slov´akMailing address: Peter W. Michor,Institut f¨ur ... Operations in Differential Geometry, Springer-Verlag, 19932. Submersions and immersions 13The following three lemmas explain the name initial submanifold.2.15. Lemma. Let f : M → N be an injective...