When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces. In this paper, we define and study a class of "g-natural" metrics on the tangent bundle of a pseudo-Riemannian manifold and we investigate the geometry of the null tangent bundle as a lightlike hypersurface equipped with an induced g-natural metric.
On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold
Giovanni Calvaruso
2023-01-01
Abstract
When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces. In this paper, we define and study a class of "g-natural" metrics on the tangent bundle of a pseudo-Riemannian manifold and we investigate the geometry of the null tangent bundle as a lightlike hypersurface equipped with an induced g-natural metric.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
axioms-12-00903.pdf
accesso aperto
Descrizione: Articolo
Tipologia:
Versione editoriale
Licenza:
Creative commons
Dimensione
530.97 kB
Formato
Adobe PDF
|
530.97 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
