This book investigates the application of variational methods to the study of geodesics in Lorentzian manifolds. Antonio Masiello, a researcher in global analysis and differential geometry, provides a rigorous mathematical framework for analyzing the existence and multiplicity of geodesics in space-time models. The text utilizes critical point theory and Morse theory to address problems in general relativity and Lorentzian geometry.

Experts recognize this work as a specialized technical monograph for graduate students and researchers in differential geometry and mathematical physics. Readers frequently note the high level of mathematical density and the requirement for a strong background in functional analysis and topology to fully comprehend the proofs presented.