3 papers
math.DG2013
Riemannian geodesics of semi Riemannian warped metrics
Oriella M. Amici, Biagio C. Casciaro
Let and be two --differentiable connected, complete Riemannian manifolds, a --differentiable function, having $0<k_0…
math.DG2010
Convex Neighbourhoods and Complete Finsler Spaces
O. M. Amici, B. C. Casciaro
In this paper, it is shown that a large set of connections on a suitable sub-bundle of the tangent bundle of a Finsler Manifold can be used to study all the properties of convex ne…
math-ph2006
On the Variational Characterisation of Generalized Jacobi Equations
Biagio Casciaro, Mauro Francaviglia, Victor Tapia
We study higher--order variational derivatives of a generic second--order Lagrangian and in this context we discuss the Jacobi equati…