Publications (47)
Stability of the Focal and Geometric Index in semi-Riemannian Geometry via the Maslov Index
Francesco Mercuri, Paolo Piccione, Daniel V. Tausk
On the semi-Riemannian bumpy metric theorem
Leonardo Biliotti, Miguel Angel Javaloyes, Paolo Piccione
On the manifold structure of the set of unparameterized embeddings with low regularity
Luis J. Alias, Paolo Piccione
Periodic Geodesics and Geometry of Compact Lorentzian Manifolds with a Killing Vector Field
Jose Luis Flores, Miguel Angel Javaloyes, Paolo Piccione
The Morse Index Theorem in semi-Riemannian Geometry
Paolo Piccione, Daniel V. Tausk
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
Renato G. Bettiol, Paolo Piccione, Gaetano Siciliano
On bifurcation and local rigidity of triply periodic minimal surfaces in $\mathbb R^3$
Miyuki Koiso, Paolo Piccione, Toshihiro Shoda
Comment on "Spherically symmetric perfect fluid in area-radial coordinates" by Iguchi et al
Roberto Giambo', Fabio Giannoni, Giulio Magli +1
Iteration of closed geodesics in stationary Lorentzian manifolds
Miguel Angel Javaloyes, Levi Lopes de Lima, Paolo Piccione
Comparison results for conjugate and focal points in semi-Riemannian geometry via Maslov index
Miguel Angel Javaloyes, Paolo Piccione
On the isometry group and the geometric structure of compact stationary Lorentzian manifolds
Paolo Piccione, Abdelghani Zeghib
Almost isometries of non-reversible metrics with applications to stationary spacetimes
Miguel Angel Javaloyes, Leandro Lichtenfelz, Paolo Piccione
An existence theorem for G-structure preserving affine immersions
Paolo Piccione, Daniel V. Tausk
A Note on the Morse Index Theorem for Geodesics between Submanifolds in semi-Riemannian Geometry
Paolo Piccione, Daniel Victor Tausk
Lagrangian and Hamiltonian Formalism for Constrained Variational Problems
Paolo Piccione, Daniel V. Tausk
Partial Signatures and the Yoshida-Nicolaescu Theorem
José Carlos Corrêa Eidam, Paolo Piccione
Bifurcation of constant mean curvature tori in Euclidean spheres
Luis J. Alias, Paolo Piccione
The Fermat Principle in General Relativity and Applications
Fabio Giannoni, Antonio Masiello, Paolo Piccione
On a product formula for the Conley--Zehnder index of symplectic paths and its applications
Maurice de Gosson, Serge de Gosson, Paolo Piccione
An Index Theorem for Non Periodic Solutions of Hamiltonian Systems
Paolo Piccione, Daniel Victor Tausk
Spectral Flow, Maslov Index and Bifurcation of semi-Riemannian Geodesics
Paolo Piccione, Alessandro Portaluri, Daniel V. Tausk
Morse Theory for the Travel Time Brachistochrones in Stationary Spacetimes
Fabio Giannoni, Paolo Piccione, Daniel V. Tausk
On the Distribution of Conjugate Points along semi-Riemannian Geodesics
Paolo Piccione, Daniel V. Tausk
On the Homotopy Type of the Fredholm Lagrangian Grassmannian
José Carlos Corrêa Eidam, Paolo Piccione
Riemannian submersions with discrete spectrum
G. Pacelli Bessa, J. Fabio Montenegro, Paolo Piccione
Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions
Renato G. Bettiol, Paolo Piccione
Spectral flow and iteration of closed semi-Riemannian geodesics
Miguel Angel Javaloyes, Paolo Piccione
A few brief comments on the results of manuscript arXiv:math/0405153v3
Paolo Piccione
Conjugate points and Maslov index in locally symmetric semi-Riemannian manifolds
Miguel Angel Javaloyes, Paolo Piccione
A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation
Paolo Piccione, Alessandro Portaluri
A Morse Theory for Massive Particles and Photons in General Relativity
Fabio Giannoni, Antonio Masiello, Paolo Piccione
Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces
Paolo Piccione, Daniel V. Tausk
Orthogonal Geodesic Chords, Brake Orbits and Homoclinic Orbits in Riemannian Manifolds
Roberto Giambó, Fabio Giannoni, Paolo Piccione
On a formula for the spectral flow and its applications
Pierluigi Benevieri, Paolo Piccione
Variational aspects of the geodesic problem in sub-Riemannian geometry
Paolo Piccione, Daniel V. Tausk
An Index Theory for Paths that are Solutions of a Class of Strongly Indefinite Variational Problems
Paolo Piccione, Daniel V. Tausk
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
Renato G. Bettiol, Paolo Piccione
Gravitational collapse of barotropic spherical fluids
Roberto Giambo', Fabio Giannoni, Giulio Magli +1
Maslov index in semi-Riemannian submersions
Erasmo Caponio, Miguel Angel Javaloyes, Paolo Piccione
Genericity of nondegenerate critical points and Morse geodesic functionals
Leonardo Biliotti, Miguel Angel Javaloyes, Paolo Piccione
Deforming solutions of geometric variational problems with varying symmetry groups
Renato G. Bettiol, Paolo Piccione, Gaetano Siciliano
Equivariant bifurcation in geometric variational problems
Renato G. Bettiol, Paolo Piccione, Gaetano Siciliano
On Fermat's principle for causal curves in time oriented Finsler spacetimes
Ricardo Gallego Torromé, Paolo Piccione, Henrique Vitório
The single-leaf Frobenius Theorem with Applications
Paolo Piccione, Daniel V. Tausk
New solutions of Einstein equations in spherical symmetry: the Cosmic Censor to the court
Roberto Giambo', Fabio Giannoni, Giulio Magli +1
Pseudo focal points along Lorentzian geodesics and Morse index
Miguel Angel Javaloyes, Antonio Masiello, Paolo Piccione
Connections compatible with tensors. A characterization of left-invariant Levi--Civita connections in Lie groups
Paolo Piccione, Daniel V. Tausk