Gutú, OliviaJaramillo Aguado, Jesús Ángel2023-06-202023-06-202004-060030-873010.2140/pjm.2004.215.313https://hdl.handle.net/20.500.14352/50130Let f be a split submersion between paracompact Banach manifolds. We obtain here various conditions for f to be a fiber bundle. First, we give general conditions in terms of path-liftings. As a consequence, we deduce several criteria: For example, f is a fiber bundle provided it satisfies either some topological requirements ( such as being a proper or a closed map) or, in the case of Finsler manifolds, some metric requirements (such as Hadamard integral condition).engjournal articlehttps://msp.org/pjm/2004/215-2/p05.xhtmlhttp://projecteuclid.org/restricted access515.16Fiber bundleBanach manifoldpath-liftingFinsler spaceGeometria algebraica1201.01 Geometría Algebraica