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math.DG2007★ 2 cited
On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes
L. Biliotti, F. Mercuri, P. Piccione
Following the lines of the celebrated Riemannian result of Gromoll and Meyer, we use infinite dimensional equivariant Morse theory to establish the existence of infinitely many geo…
math.DG1999
Stability of the Focal and Geometric Index in semi-Riemannian Geometry via the Maslov Index
Francesco Mercuri, Paolo Piccione, Daniel V. Tausk
We investigate the problem of the stability of the number of conjugate or focal points (counted with multiplicity) along a semi-Riemannian geodesic . For a Riemannian or a non s…