Abstract
This chapter contains the proofs of our three criteria—Propositions 3.16, 3.23, and 3.25—for showing that a given point has local minimizers. In the process we develop some valuable tools for working with admissible manifolds, and we prove a powerful inequality that bounds the length of a curve above by its action.
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Heymann, M. (2015). Proofs for Sect. 3.3: Finding Points with Local Minimizers. In: Minimum Action Curves in Degenerate Finsler Metrics. Lecture Notes in Mathematics, vol 2134. Springer, Cham. https://doi.org/10.1007/978-3-319-17753-3_6
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DOI: https://doi.org/10.1007/978-3-319-17753-3_6
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