Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary

DOI10.1007/BF02505911zbMath0963.58006WikidataQ115392106 ScholiaQ115392106MaRDI QIDQ1570435

Rossella Bartolo, Miguel Sánchez, Anna Valeria Germinario

Publication date: 12 June 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsSchwarzschild spacetimeclosed geodesicLagrangian systemReissner-Nordström spacetime

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary ⋮ CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS ⋮ A note on the boundary of a static Lorentzian manifold.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The imbedding problem for Riemannian manifolds
• Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• On the existence of closed geodesics on noncompact Riemannian manifolds
• The homology theory of the closed geodesic problem
• On the existence of infinitely many periodic solutions of non-complete Riemannian manifolds
• On the existence of infinitely many trajectories for a class of static Lorentzian manifolds like Schwarzschild and Reissner-Nordström space-times
• Periodic solutions with prescribed energy on non-complete Riemannian manifolds
• Homotopy theory of infinite dimensional manifolds
• Morse theory on Hilbert manifolds
• Geodesics in static spacetimes and t-periodic trajectories

This page was built for publication: Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary