We shall review recent results obtained in the study of some periodic variational problems on Riemannian and Lorentzian manifolds with boundary. Firstly we shall analyze the existence. of closed geodesics on a Riemannian manifold (M, < (.),(.)> (R))Then we shall deal respectively with periodic trajectories and periodic trajectories under a vectorial potential on stationary Lorentz manifolds. Finally, we discuss the different hypotheses on the boundary, and state some open questions.

Remarks on some variational problems on non-complete manifolds

Bartolo R;
2001

Abstract

We shall review recent results obtained in the study of some periodic variational problems on Riemannian and Lorentzian manifolds with boundary. Firstly we shall analyze the existence. of closed geodesics on a Riemannian manifold (M, < (.),(.)> (R))Then we shall deal respectively with periodic trajectories and periodic trajectories under a vectorial potential on stationary Lorentz manifolds. Finally, we discuss the different hypotheses on the boundary, and state some open questions.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/9849
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact