- Mathematical Sciences and Applications E-Notes
- Vol: 2 Issue: 2
- SHADOW LEMMA ON FINSLER MANIFOLDS OF HYPERBOLIC TYPE
SHADOW LEMMA ON FINSLER MANIFOLDS OF HYPERBOLIC TYPE
Authors : CYRIAQUE ATINDOGBE, CARLOSOGOUYANDJOU
Pages : 76-88
Doi:10.36753/mathenot.207624
View : 5 | Download : 4
Publication Date : 2014-12-01
Article Type : Other
Abstract :Let (M, F ) be a compact Finsler manifold of hyperbolic type, ˜MFbe its universal Finslerian covering and αFthe critical exponent of the groupof the deck transformations of ˜F. In this paper we prove the existence of anαF-Busemann quasi-density on the Gromov boundary ˜MG(∞) of ˜. Furthermore, we generalize the Shadow lemma to the compact Finsler manifoldsof hyperbolic typeKeywords : Finsler manifold, Gromov hyperbolic manifold, Busemann quasidensity, Shadow lemma