paper

A second order smooth variational principle on Riemannian manifolds

arXiv:math/0701678

Abstract

We establish a second order smooth variational principle valid for functions defined on (possibly infinite-dimensional) Riemannian manifolds which are uniformly locally convex and have a strictly positive injectivity radius and bounded sectional curvature.

16 pages, second version of the paper (a minor mistake in the proof of the first version has been corrected, and an estimation improved)

A second order smooth variational principle on Riemannian manifolds · wovepaper