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math.DG2000
The Morse Index Theorem in semi-Riemannian Geometry
Paolo Piccione, Daniel V. Tausk
We prove a semi-Riemannian version of the celebrated Morse Index Theorem for geodesics in semi-Riemannian manifolds; we consider the general case of both endpoints variable on two…
math.DG2000
On the Distribution of Conjugate Points along semi-Riemannian Geodesics
Paolo Piccione, Daniel V. Tausk
Helfer in [Pacific J. Math. 164/2 (1994), p. 321--350] was the first to produce an example of a spacelike Lorentzian geodesic with a continuum of conjugate points. In this paper we…
math.OC2000
Lagrangian and Hamiltonian Formalism for Constrained Variational Problems
Paolo Piccione, Daniel V. Tausk
We consider solutions of Lagrangian variational problems with linear constraints on the derivative. These solutions are given by curves in a differentiable manifold that ar…