arXiv:math/0701678 Abstract

arXiv:math/0701678 [math.DG]Abstract References Reviews Resources

A second order smooth variational principle on Riemannian manifolds

Published 2007-01-24, updated 2007-01-28Version 2

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.

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)

Categories: math.DG, math.FA

Subjects: 58E30, 49J52, 46T05, 47J30, 58B20

Keywords: second order smooth variational principle, riemannian manifolds, order smooth variational principle valid, strictly positive injectivity radius

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