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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 smooth variational principle, Riemannian manifold
MSC Classifications: 58E30, 49J52, 46T05, 47J30, 58B20 show english descriptions Variational principles
Nonsmooth analysis [See also 46G05, 58C50, 90C56]
Infinite-dimensional manifolds [See also 53Axx, 57N20, 58Bxx, 58Dxx]
Variational methods [See also 58Exx]
Riemannian, Finsler and other geometric structures [See also 53C20, 53C60]
58E30 - Variational principles
49J52 - Nonsmooth analysis [See also 46G05, 58C50, 90C56]
46T05 - Infinite-dimensional manifolds [See also 53Axx, 57N20, 58Bxx, 58Dxx]
47J30 - Variational methods [See also 58Exx]
58B20 - Riemannian, Finsler and other geometric structures [See also 53C20, 53C60]
 

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