4 papers · 1 filter
Periodic Geodesics and Geometry of Compact Lorentzian Manifolds with a Killing Vector Field
Jose Luis Flores, Miguel Angel Javaloyes, Paolo Piccione
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subg…
Genericity of nondegenerate critical points and Morse geodesic functionals
Leonardo Biliotti, Miguel Angel Javaloyes, Paolo Piccione
We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy conditio…
Pseudo focal points along Lorentzian geodesics and Morse index
Miguel Angel Javaloyes, Antonio Masiello, Paolo Piccione
Given a Lorentzian manifold , a geodesic in and a timelike Jacobi field along , we introduce a special class of instants along that we call $\mat…
An existence theorem for G-structure preserving affine immersions
Paolo Piccione, Daniel V. Tausk
We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and…