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A Second Order Smooth Variational Principle on Riemannian Manifolds

Published:2009-12-04
Printed: Apr 2010
• Daniel Azagra
• Robb Fry
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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.
 Keywords: smooth variational principle, Riemannian manifold