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arxiv: math/0701678 · v2 · submitted 2007-01-24 · 🧮 math.DG · math.FA

A second order smooth variational principle on Riemannian manifolds

classification 🧮 math.DG math.FA
keywords manifoldsorderprincipleriemanniansecondsmoothvariationalbounded
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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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