The Automorphism Group of a Geometric Structure
Hsin Chu, Shôshichi Kobayashi · Transactions of the American Mathematical Society · 1964
Given a geometric structure on a manifold M, the group of transformations of M leaving the structure invariant is often a Lie transformation group(2).In this report we shall give a historical account of such cases and systematic proofs of those results.In §1 we summarize known results in the chronological order and in §2 we show how to derive them from a theorem of Palais.We give also a self-contained proof of the result of Palais as it is not easy to pick up the proof from his long paper.