Pubblicazioni

Articoli su rivista

R.BARTOLO, E. CAPONIO, A. GERMINARIO, M. SÁNCHEZ, Lorentzian-Euclidean black holes and Lorentzian to Riemannian metric transitions, Phys. Rev. D , 111 (2025), 104058 doi
E. CAPONIO, A. GERMINARIO, M. SÁNCHEZ, Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness, The Journal of Geometric Analysis, 26 (2016), 791–836 doi
R. BARTOLO, E. CAPONIO, A. GERMINARIO, M. SÁNCHEZ, Convex domains of Finsler and Riemannian manifolds, Calc. Var. 40 (2011), 335-356
R. BARTOLO, A. GERMINARIO, Convexity conditions on the boundary of a stationary spacetime and applications, Commun. Contemp. Math. 11 (2009), 739-769
R. BARTOLO, A. GERMINARIO, Trajectories of a charge in a magnetic field on Riemannian manifolds with boundary, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 17 (2010), 363-376
R. BARTOLO, A. GERMINARIO, Orthogonal trajectories on Riemannian manifolds and applications to Plane Wave type spacetimes, Nonlinear Anal. 66 (2007), 2355-2363
A. GERMINARIO, Geodesics in stationary spacetimes and classical Lagrangian systems, J. Differential Equations 232 (2007), 253-276
A. GERMINARIO, Timelike trajectories with fixed energy under a potential in static spacetimes, Int. J. Math. Math. Sci. 2006 (2006), Art. ID 86952, 16 pp
R. BARTOLO, A. GERMINARIO, Timelike spatially closed trajectories under a potential on splitting Lorentzian manifolds, Commun. Appl. Anal. 9 (2005), 177-205
R. BARTOLO, A. GERMINARIO, M. SÁNCHEZ, Orthogonal trajectories on stationary spacetimes under intrinsic assumptions, Topol. Methods Nonlinear Anal. 24 (2004), 239-268
R. BARTOLO, A. GERMINARIO, M. SÁNCHEZ, Trajectories connecting two submanifolds on non-complete Lorentzian manifolds, Electron. J. Differential Equations 2004 (2004), 1-20
R. BARTOLO, A. GERMINARIO, Trajectories joining two submanifolds under the action of gravitational and electromagnetic fields on static spacetimes, Math. Phys. Anal. Geom. 5 (2002), 125-143
R. BARTOLO, A. GERMINARIO, M. SÁNCHEZ, Existence of a closed Geodesic on non-compact Riemannian manifolds with boundary, Adv. Nonlinear Stud. 2 (2002), 51-69
R. BARTOLO, A. GERMINARIO, M. SÁNCHEZ, A note on the boundary of a static Lorentzian manifold, Differential Geom. Appl. 16 (2002), 121-131
R. BARTOLO, A. GERMINARIO, M. SÁNCHEZ, Convexity of domains of Riemannian manifolds, Ann. Global Anal. Geom. 21 (2002), 63-83
A. GERMINARIO, Geodesics on Lorentzian manifold with convex boundary, Proceedings of the Third World Congress of Nonlinear Analysts, Part 5 (Catania, 2000). Nonlinear Anal. 47 (2001), 3543-3548
R. BARTOLO, A. GERMINARIO, Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary, J. Geom. Phys. 32 (2000), 293-310
A. GERMINARIO, F. GIANNONI, Existence and multiplicity results for massive particles trajectories in a universe with boundary, J. Math. Phys. 40 (1999), 5835-5848
R. BARTOLO, A. GERMINARIO, M. SÁNCHEZ, Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary, Ann. Mat. Pura Appl. 177 (1999), 241-262
F. ANTONACCI, A. GERMINARIO, R. SAMPALMIERI, Light rays having extreme points with the same spatial coordinates, Differential Geom. Appl. 10 (1999), 161-178
A. GERMINARIO, On a Morse theory for light rays without nondegeneracy assumptions, Proceedings of the Second World Congress of Nonlinear Analysts, Part 2 (Athens, 1996). Nonlinear Anal. 30 (1997), 747-758
A. GERMINARIO, Morse theory for light rays without nondegeneracy assumptions, Nonlinear World 4 (1997), 173-206
A. GERMINARIO, F. GIANNONI, Morse theory for Riemannian geodesics without nondegeneracy assumptions, Topol. Methods Nonlinear Anal. 10 (1997), 295-325
A. GERMINARIO, Homoclinics on Riemannian manifolds with convex boundary, Dynam. Systems Appl. 4 (1995), 549-566
A. GERMINARIO, Heteroclinic orbits on noncompact Riemannian manifolds, Rend. Mat. Appl. 15 (1995), 263-279

Preprint

E. CAPONIO, A.V. GERMINARIO, A. MASIELLO, A unified framework for photon and massive particle hypersurfaces in stationary spacetimes, https://arxiv.org/abs/2602.11883

Atti di convegni

A. GERMINARIO, Infinitesimal Convexity in Stationary Spacetimes in International Meeting on Differential Geometry, Córdoba 2010 (cur. Albujer, A., Caballero, M., Rubio, R.) (EdicionesDon Folio, Córdoba, Spain, 2012), 93–102, isbn: 978-84-15105-91-6