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Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients

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


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
213 KB
Volume
44
Category
Article
ISSN
0393-0440

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โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Closed geodesics in stationary manifolds
โœ A.M. Candela; A. Salvatore ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

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.