Piccione, Paolo; Zeghib, Abdelghani Actions of discrete groups on stationary Lorentz manifolds. (English) Zbl 1320.53086 Ergodic Theory Dyn. Syst. 34, No. 5, 1640-1673 (2014). Reviewer: Marta Macho Stadler (Leioa) MSC: 53C50 37C85 PDFBibTeX XMLCite \textit{P. Piccione} and \textit{A. Zeghib}, Ergodic Theory Dyn. Syst. 34, No. 5, 1640--1673 (2014; Zbl 1320.53086) Full Text: DOI Link
Lichtenfelz, Leandro A.; Piccione, Paolo; Zeghib, Abdelghani On the isometry group of Lorentz manifolds. (English) Zbl 1282.53062 Sánchez, Miguel (ed.) et al., Recent trends in Lorentzian geometry. Based on the presentations at the 6th international meeting on Lorentzian geometry, Granada, Spain, September 6–9, 2011. New York, NY: Springer (ISBN 978-1-4614-4896-9/hbk; 978-1-4614-4897-6/ebook). Springer Proceedings in Mathematics & Statistics 26, 277-293 (2013). Reviewer: Viviana del Barco (Rosario) MSC: 53C50 53C10 PDFBibTeX XMLCite \textit{L. A. Lichtenfelz} et al., Springer Proc. Math. Stat. 26, 277--293 (2013; Zbl 1282.53062) Full Text: DOI
Javaloyes, Miguel Ángel; Masiello, Antonio; Piccione, Paolo Pseudo focal points along Lorentzian geodesies and Morse index. (English) Zbl 1209.58011 Adv. Nonlinear Stud. 10, No. 1, 53-82 (2010). Reviewer: Zdeněk Dušek (Olomouc) MSC: 58E05 53B30 53C22 53C50 PDFBibTeX XMLCite \textit{M. Á. Javaloyes} et al., Adv. Nonlinear Stud. 10, No. 1, 53--82 (2010; Zbl 1209.58011) Full Text: DOI arXiv
Javaloyes, Miguel Angel; de Lima, Levi Lopes; Piccione, Paolo Iteration of closed geodesics in stationary Lorentzian manifolds. (English) Zbl 1210.53045 Math. Z. 260, No. 2, 277-303 (2008). MSC: 53C22 58E10 53C50 37B30 PDFBibTeX XMLCite \textit{M. A. Javaloyes} et al., Math. Z. 260, No. 2, 277--303 (2008; Zbl 1210.53045) Full Text: DOI arXiv
Biliotti, Leonardo; Mercuri, Francesco; Piccione, Paolo On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes. (English) Zbl 1147.58013 Commun. Anal. Geom. 16, No. 2, 333-393 (2008). Reviewer: Qun Chen (Wuhan) MSC: 58E10 53C50 PDFBibTeX XMLCite \textit{L. Biliotti} et al., Commun. Anal. Geom. 16, No. 2, 333--393 (2008; Zbl 1147.58013) Full Text: DOI arXiv Euclid
Caponio, Erasmo; Masiello, Antonio; Piccione, Paolo Maslov index and Morse theory for the relativistic Lorentz force equation. (English) Zbl 1060.58010 Manuscr. Math. 113, No. 4, 471-506 (2004). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E10 53D12 83C10 PDFBibTeX XMLCite \textit{E. Caponio} et al., Manuscr. Math. 113, No. 4, 471--506 (2004; Zbl 1060.58010) Full Text: DOI
Piccione, Paolo; Tausk, Daniel V. On the distribution of conjugate points along semi-Riemannian geodesics. (English) Zbl 1077.53059 Commun. Anal. Geom. 11, No. 1, 33-48 (2003). Reviewer: Dumitru Motreanu (Perpignan) MSC: 53C50 53C22 58E10 PDFBibTeX XMLCite \textit{P. Piccione} and \textit{D. V. Tausk}, Commun. Anal. Geom. 11, No. 1, 33--48 (2003; Zbl 1077.53059) Full Text: DOI arXiv
Giannoni, F.; Masiello, A.; Piccione, P.; Tausk, D. V. A generalized index theorem for Morse-Sturm systems and applications to semi-Riemannian geometry. (English) Zbl 1009.58013 Asian J. Math. 5, No. 3, 441-472 (2001). MSC: 58J20 53C50 58E10 34B15 PDFBibTeX XMLCite \textit{F. Giannoni} et al., Asian J. Math. 5, No. 3, 441--472 (2001; Zbl 1009.58013) Full Text: DOI arXiv
Giannoni, Fabio; Masiello, Antonio; Piccione, Paolo On the finiteness of light rays between a source and an observer on conformally stationary space-times. (English) Zbl 0980.83016 Gen. Relativ. Gravitation 33, No. 3, 491-514 (2001). MSC: 83C10 83C35 PDFBibTeX XMLCite \textit{F. Giannoni} et al., Gen. Relativ. Gravitation 33, No. 3, 491--514 (2001; Zbl 0980.83016) Full Text: DOI
Piccione, P. Existence of geodesics in static Lorentzian manifolds with convex boundary. (English) Zbl 0979.53041 Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 1, 189-215 (2000). Reviewer: Dimitrii V.Alekseevsky (Hull) MSC: 53C22 53C50 PDFBibTeX XMLCite \textit{P. Piccione}, Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 1, 189--215 (2000; Zbl 0979.53041) Full Text: DOI
Giannoni, Fabio; Piccione, Paolo An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds. (English) Zbl 0928.53021 Commun. Anal. Geom. 7, No. 1, 157-197 (1999). MSC: 53C22 58E10 53C50 PDFBibTeX XMLCite \textit{F. Giannoni} and \textit{P. Piccione}, Commun. Anal. Geom. 7, No. 1, 157--197 (1999; Zbl 0928.53021) Full Text: DOI
Antonacci, Flavia; Piccione, Paolo An intrinsic approach to Ljusternik-Schnirelman theory for light rays on Lorentzian manifolds. (English) Zbl 1015.53042 Differ. Integral Equ. 12, No. 4, 521-562 (1999). Reviewer: Oldřich Kowalski (Praha) MSC: 53C50 53C22 53C80 PDFBibTeX XMLCite \textit{F. Antonacci} and \textit{P. Piccione}, Differ. Integral Equ. 12, No. 4, 521--562 (1999; Zbl 1015.53042)
Giannoni, F.; Perlick, V.; Piccione, P.; Verderesi, J. A. Time minimizing trajectories in Lorentzian geometry. (English) Zbl 0984.53026 Mat. Contemp. 17, 193-222 (1999). Reviewer: Dean E.Allison (Greeley) MSC: 53C50 58-02 58E25 83C99 49S05 53Z05 58E05 PDFBibTeX XMLCite \textit{F. Giannoni} et al., Mat. Contemp. 17, 193--222 (1999; Zbl 0984.53026)
Piccione, Paolo; Tausk, Daniel V. A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry. (English) Zbl 0982.53037 J. Math. Phys. 40, No. 12, 6682-6688 (1999). MSC: 53C22 58E05 53C20 53C50 PDFBibTeX XMLCite \textit{P. Piccione} and \textit{D. V. Tausk}, J. Math. Phys. 40, No. 12, 6682--6688 (1999; Zbl 0982.53037) Full Text: DOI arXiv
Piccione, Paolo Causal trajectories between submanifolds in Lorentzian geometry. (English) Zbl 0979.53040 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 631-644 (1999). MSC: 53C22 53C50 58E30 58D10 PDFBibTeX XMLCite \textit{P. Piccione}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 631--644 (1999; Zbl 0979.53040) Full Text: EMIS
Perlick, Volker; Piccione, Paolo A general-relativistic Fermat principle for extended light sources and extended receivers. (English) Zbl 0938.58014 Gen. Relativ. Gravitation 30, No. 10, 1461-1476 (1998). Reviewer: A.Masiello (Bari) MSC: 58E10 53C50 58E30 83C10 PDFBibTeX XMLCite \textit{V. Perlick} and \textit{P. Piccione}, Gen. Relativ. Gravitation 30, No. 10, 1461--1476 (1998; Zbl 0938.58014) Full Text: DOI
Giannoni, F.; Masiello, A.; Piccione, P. A Morse theory for light rays on stably causal Lorentzian manifolds. (English) Zbl 0920.58019 Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 4, 359-412 (1998). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 58E10 53C50 53Z05 83C99 53C22 PDFBibTeX XMLCite \textit{F. Giannoni} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 4, 359--412 (1998; Zbl 0920.58019) Full Text: Numdam EuDML
Masiello, Antonio; Piccione, Paolo Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays. (English) Zbl 0901.58010 Differ. Geom. Appl. 8, No. 1, 47-70 (1998). Reviewer: A.Masiello (Bari) MSC: 58E10 53C22 83C15 PDFBibTeX XMLCite \textit{A. Masiello} and \textit{P. Piccione}, Differ. Geom. Appl. 8, No. 1, 47--70 (1998; Zbl 0901.58010) Full Text: DOI
Piccione, Paolo On the existence of light-like geodesics on conformally stationary Lorentzian manifolds. (English) Zbl 0868.53029 Nonlinear Anal., Theory Methods Appl. 28, No. 4, 611-623 (1997). Reviewer: A.Masiello (Bari) MSC: 53C22 58E10 53C50 PDFBibTeX XMLCite \textit{P. Piccione}, Nonlinear Anal., Theory Methods Appl. 28, No. 4, 611--623 (1997; Zbl 0868.53029) Full Text: DOI
Giannoni, Fabio; Masiello, Antonio; Piccione, Paolo A variational theory of light rays on Lorentz manifolds. (English. Abridged French version) Zbl 0888.53044 C. R. Acad. Sci., Paris, Sér. I 324, No. 10, 1093-1098 (1997). Reviewer: V.Perlick (Berlin) MSC: 53C50 58E30 PDFBibTeX XMLCite \textit{F. Giannoni} et al., C. R. Acad. Sci., Paris, Sér. I 324, No. 10, 1093--1098 (1997; Zbl 0888.53044) Full Text: DOI