Index theorems for symplectic systems
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P. Piccione; D.V. Tausk
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Article
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2001
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Elsevier Science
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English
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The Jacobi equation along a geodesic \(\gamma\) in a semi-Riemannian manifold \(\left(M^{n}, g\right)\) produces, by a parallel trivialization of the tangent bundle \(T M\) along \(\gamma\), a Morse-Sturm equation in \(\mathbb{R}^{n}\). More generally, the linearized Hamilton equation along a soluti