Highly Influenced

@inproceedings{Palais2007AGM, title={A Generalized Morse Theory}, author={Richard Palais and Stephen Smale}, year={2007} }

- Published 2007

1. Abstract theory. Let M be a C-Riemannian manifold without boundary modeled on a separable Hubert space (see Lang [3]). For pÇzM we denote by ( , )p the inner product in the tangent space Mp and we define a function || || on the tangent bundle T(M) by ||z>|| = (v, v)J for vÇzMp. Given p and q in the same component of M we define p(p, q)==lnïfl\\<r'(t)\\dtt where the Inf is over all C 1 paths <r\ [0, l]—>ikf such that a(0)=p and cr(l)=g. Just as in the finite dimensional case one shows that p… CONTINUE READING

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