A second order smooth variational principle on Riemannian manifolds
Differential Geometry
2007-05-23 v2 Functional Analysis
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.
Cite
@article{arxiv.math/0701678,
title = {A second order smooth variational principle on Riemannian manifolds},
author = {Daniel Azagra and Robb Fry},
journal= {arXiv preprint arXiv:math/0701678},
year = {2007}
}
Comments
16 pages, second version of the paper (a minor mistake in the proof of the first version has been corrected, and an estimation improved)