Let $(\m,\g_L)$ be a non compact Lorentzian manifold. If the metric $\g_L$ is stationary and $\m$ has a strictly space-convex boundary, then variational tools allow to prove the existence of at least one closed spacelike geodesic in it.
Closed geodesics in stationary manifolds with strictly convex boundary
CANDELA, Anna Maria;SALVATORE, Addolorata
2000-01-01
Abstract
Let $(\m,\g_L)$ be a non compact Lorentzian manifold. If the metric $\g_L$ is stationary and $\m$ has a strictly space-convex boundary, then variational tools allow to prove the existence of at least one closed spacelike geodesic in it.File in questo prodotto:
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