79 citations · 217 across the 15 of their papers we have counts for
3 papers · 1 filter
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…
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…
A Morse Theory for Massive Particles and Photons in General Relativity
Fabio Giannoni, Antonio Masiello, Paolo Piccione
In this paper we develop a Morse Theory for timelike geodesics parameterized by a constant multiple of proper time. The results are obtained using an extension to the timelike case…