Morse index and bifurcation ofp-geodesics on semi Riemannian manifolds

DOI10.1051/cocv:2007037zbMath1127.58005OpenAlexW2137627348WikidataQ115334485 ScholiaQ115334485MaRDI QIDQ5428421

Alessandro Portaluri, Monica Musso, Jacobo Pejsachowicz

Publication date: 22 November 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_3_598_0

zbMATH Keywords

bifurcationsemi-Riemannian manifoldsgeneralized Morse indexperturbed geodesic

Mathematics Subject Classification ID

Related Items (15)

Bifurcations of balanced configurations for the Newtonian \(n\)-body problem in \(\mathbb{R}^4\) ⋮ Bifurcation of heteroclinic orbits via an index theory ⋮ Indefinite Sturm theory ⋮ A multiplicity result for a class of strongly indefinite asymptotically linear second order systems ⋮ Bifurcation of critical points for continuous families of \(C^2\) functionals of Fredholm type ⋮ An index theory for asymptotic motions under singular potentials ⋮ Index theory for heteroclinic orbits of Hamiltonian systems ⋮ Spectral flow, Brouwer degree and Hill's determinant formula ⋮ A \(K\)-theoretical invariant and bifurcation for a parameterized family of functionals ⋮ Linear instability of periodic orbits of free period Lagrangian systems ⋮ Sturm theory with applications in geometry and classical mechanics ⋮ Linear instability for periodic orbits of non-autonomous Lagrangian systems ⋮ The Maslov Index and Global Bifurcation for Nonlinear Boundary Value Problems ⋮ A \(K\)-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems ⋮ Instability of semi-Riemannian closed geodesics

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