| Titre |
Prescribed Ricci tensor in Finslerian conformal class |
| Auteurs |
Nibaruta Gilbert [1],
Degla Serge [2],
TODJIHOUNDE LEONARD [3],
|
| Journal: |
Balkan Journal of Geometry and Its Applications |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
23 |
| DOI: |
|
| Resume |
In this paper, a new geometric quantity, the trace-free horizon-
tal Ricci tensor of a Finsler manifold is proposed. The conformal changes of this tensor, relatively to the conformal deformations of Finsler metrics when an Ehresmann form varies, are studied. As an application, it is shown that on a closed manifold two conformal Finsler metrics with the
same horizontal Ricci tensor must be homothetic. |
| Mots clés |
Ehresmann connection; pulled-back tangent bundle; trace-free Ricci tensor; conformal deformation of Finsler metrics. |
| Pages |
41 - 54 |
| Fichier |
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