INTRODUCTION TO DIFFERENTIAL GEOMETRY - ETH Z

The third section builds on Chapter 5 on isometries and the Rie-mann curvature tensor. It contains a proof of the Myers{Steenrod Theorem, ... Lie algebra is nondegenerate, to establish uniqueness up to conjugation of maximal compact subgroups of the automorphism group of a semisimple Lie algebra, and to prove Cartan’s theorem about the ...

  Introduction, Differential, Third, Geometry, Conjugation, Introduction to differential geometry