A second order smooth variational principle on Riemannian manifolds

Details A second order smooth variational principle on Riemannian manifolds A second order smooth variational principle on Riemannian manifolds

2007-01-24

arxiv.org/abs/math/0701678v2

Mathematics

Differential Geometry

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

Scientific paper

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.

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