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arXiv · 1211.3071

Addendum to "Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric", Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire, 27 (2010) 857--876

Erasmo Caponio·Miguel Angel Javaloyes·Antonio Masiello
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Abstract

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 a non-reversible Finsler manifold (M,F), defined on the Hilbert manifold of the H^1 curves connecting two given points on M.

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Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello. 2012-11-13. Addendum to "Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric", Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire, 27 (2010) 857--876. https://doi.org/10.1016/j.anihpc.2013.03.005

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