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Closed geodesics in stationary manifolds with strictly convex boundary

โœ Scribed by A.M. Candela; A. Salvatore


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
116 KB
Volume
13
Category
Article
ISSN
0926-2245

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โœฆ Synopsis


Let (M, โ€ข , โ€ข L ) be a non-compact Lorentzian manifold. If the metric โ€ข , โ€ข 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.


๐Ÿ“œ SIMILAR VOLUMES


Normal geodesics in stationary Lorentzia
โœ A.M. Candela; A. Salvatore ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

Let M be a stationary manifold equipped with a Lorentz metric whose coefficients are unbounded. By using variational methods and topological tools, some existence and multiplicity results of normal geodesics joining two fixed submanifolds can be proved.