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arXiv · 2310.17400

Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level

Henrique Vitório
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Abstract

We develop appropriate notions of Maslov index and spectral flow for electromagnetic geodesics within a fixed energy level and prove a Morse Index type theorem in this context. This is then applied to the problem of electromagnetic geodesics, all of whose energy are the same, bifurcating from a given one.

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Henrique Vitório. 2023-10-26. Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level. https://arxiv.org/abs/2310.17400

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