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
Abstract
We give the details of the proof of the equality between the critical groups, with respect the H1 and C1 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 H1 curves connecting two given points on M.
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