Geodesic
A Second Order Smooth Variational Principle on Riemannian Manifolds
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 241-260

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DOI

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.
DOI : 10.4153/CJM-2010-013-4
Mots-clés : 58E30, 49J52, 46T05, 47J30, 58B20, smooth variational principle, Riemannian manifold 
Azagra, Daniel; Fry, Robb. A Second Order Smooth Variational Principle on Riemannian Manifolds. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 241-260. doi: 10.4153/CJM-2010-013-4
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     title = {A {Second} {Order} {Smooth} {Variational} {Principle} on {Riemannian} {Manifolds}},
     journal = {Canadian journal of mathematics},
     pages = {241--260},
     year = {2010},
     volume = {62},
     number = {2},
     doi = {10.4153/CJM-2010-013-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-013-4/}
}
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