A second order smooth variational principle on Riemannian manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122709We 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.16 pages, second version of the paper (a minor mistake in the proof of the first version has been corrected, and an estimation improved)Differential GeometryFunctional Analysis58E30, 49J52, 46T05, 47J30, 58B20A second order smooth variational principle on Riemannian manifoldstext