๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Geodesics on Lorentzian manifolds with convex boundary

โœ Scribed by Anna Germinario

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

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Closed geodesics in stationary manifolds
Closed geodesics in stationary manifolds with strictly convex boundary
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.

Normal geodesics in stationary Lorentzia
Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients
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.

On a Class of Geodesically Connected Lor
On a Class of Geodesically Connected Lorentzian Manifolds
โœ Flavia Antonacci; Rosella Sampalmieri ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 345 KB

In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M 0 \_R, where M 0 is a complete Riemannian manifold endowed with a Lorentzian metric g of splitting type. We prove that, under suitable hypotheses on the coefficients of the metric g, M i