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A Second Order Smooth Variational Principle on Riemannian Manifolds

Published online by Cambridge University Press:  20 November 2018

Daniel Azagra  and
Robb Fry
Daniel Azagra
Affiliation:
ICMAT(CSIC-UAM-UC3-UCM), Departamento de Análisis Matemático, Facultad Ciencias Matemáticas, Universidad Complutense, 28040 Madrid, Spain, e-mail: azagra@mat.ucm.es
Robb Fry
Affiliation:
Department of Mathematics and Statistics, School of Advanced Technologies and Mathematics, Thompson Rivers University, Kamloops, BC V2C 2N5, e-mail: rfry@tru.ca
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Abstract

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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.

Keywords

58E3049J5246T0547J3058B20smooth variational principleRiemannian manifold
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 2 , 01 April 2010 , pp. 241 - 260
Copyright
Copyright © Canadian Mathematical Society 2010

References

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