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Geodesical connectedness on stationary Lorentzian manifolds with nonsmooth boundary

โœ Scribed by M. Degiovanni; A. Giacomini


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
457 KB
Volume
47
Category
Article
ISSN
0362-546X

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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.

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.