2 papers
math.DG1999
A Generalized Index Theorem for Morse-Sturm Systems and Applications to semi-Riemannian Geometry
F. Giannoni, A. Masiello, P. Piccione +1
We prove an extension of the Index Theorem for Morse-Sturm systems of the form , where R is symmetric with respect to a (non positive) symmetric bilinear form, and thus…
math-ph1999
The Fermat Principle in General Relativity and Applications
Fabio Giannoni, Antonio Masiello, Paolo Piccione
In this paper we use a general version of Fermat's principle for light rays in General Relativity and a curve shortening method to write the Morse relations for light rays joining…