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math.DG2012★ 6 cited
Addendum to "Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric", Ann. Inst. H. Poincaré Anal. Non Linéaire, 27 (2010) 857--876
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We give the details of the proof of the equality between the critical groups, with respect the H^1 and C^1 topology, at a non-degenerate critical point of the energy functional of…
math.DG2012★ 4 cited
Infinitesimal and local convexity of a hypersurface in a semi-Riemannian manifold
Erasmo Caponio
Given a Riemannian manifold M and a hypersurface H in M, it is well known that infinitesimal convexity on a neighborhood of a point in H implies local convexity. We show in this no…