Instability of semi-Riemannian closed geodesics

DOI10.1088/1361-6544/ab1c87zbMath1427.58005arXiv1706.07619OpenAlexW2978602479WikidataQ115292971 ScholiaQ115292971MaRDI QIDQ5240839

Alessandro Portaluri, Xijun Hu, Ran Yang

Publication date: 29 October 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07619

zbMATH Keywords

spectral flowclosed geodesicsMaslov indexlinear instabilitysemi-Riemannian manifoldsBott iteration formula

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Lagrangian submanifolds; Maslov index (53D12) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Spectral flows (58J30)

Related Items (4)

Spectral flow, Brouwer degree and Hill's determinant formula ⋮ Decomposition of spectral flow and Bott-type iteration formula ⋮ Linear instability of periodic orbits of free period Lagrangian systems ⋮ A dihedral Bott-type iteration formula and stability of symmetric periodic orbits

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