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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…