• J. Herrera, M. A. Javaloyes, P. Piccione, On a monodromy theorem for sheaves of local fields and applications, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 111 (2017), no. 4, 999-1029.

• R. Bettiol, P. Piccione, Delaunay-type hypersurfaces in cohomogeneity one manifolds, Int. Math. Res. Not. IMRN 2016, no. 10, 3124-3162.

• R. Bettiol, P. Piccione, B. Santoro, Bifurcation of periodic solutions to the singular Yamabe problem on spheres, J. Differential Geom. 103 (2016), no. 2, 191-205.

• R. Giambò, F. Giannoni, P. Piccione, Functions on the sphere with critical points in pairs and orthogonal geodesic chords, J. Differential Equations 260 (2016), no. 11, 8261-8275.

• R. Giambò, F. Giannoni, P. Piccione, Multiple brake orbits in m-dimensional disks, Calc. Var. Partial Differential Equations 54 (2015), no. 3, 2553--2580.

• R. Gallego Torromé, P. Piccione, On the Lie group structure of pseudo-Finsler isometries, Houston J. Math. 41 (2015), no. 2, 513-521.

• M. Koiso, B. Palmer, P. Piccione, Bifurcation and symmetry breaking of nodoids with fixed boundary, Adv. Calc. Var. 8 (2015), no. 4, 337-370.

• R. Giambò, F. Giannoni, P. Piccione, On the normal exponential map in singular conformal metrics, Nonlinear Anal. 127 (2015), 35-44.

• R. G. Bettiol, P. Piccione, G. Siciliano, On the equivariant implicit function theorem with low regularity and applications to geometric variational problems, Proc. Edinb. Math. Soc. (2) 58 (2015), no. 1, 53-80.

• R. Giambò, F. Giannoni, P. Piccione, On the normal exponential map in singular conformal metrics, arXiv:1503.05804, Nonlinear Analysis 127 (2015), 35-44.

• M. Koiso, B. Palmer, P. Piccione, Bifurcation and symmetry breaking of nodoids with fixed boundary, Advances in Calculus of Variations 8 (2015), no. 4, 337-370. arXiv:1205.4539.

• L. L. de Lima, J. H. Lira, P. Piccione, Bifurcation of Clifford tori in Berger 3-spheres, Quarterly Journal of Mathematics 65 (2014), no. 4, 1345-1362.

• M. A. Javaloyes, L. Lichtenfelz, P. Piccione, Almost isometries of non-reversible metrics with applications to stationary spacetimes, Journal of Geometry and Physics 89 (2015), 38-49.

• R. Giambò, F. Giannoni, P. Piccione, Morse Theory for geodesics in singular conformal metrics, Communications in Analysis and Geometry vol. 22, n. 5 (2014), 779-809.

• P. Piccione, A. Zeghib, Actions of discrete groups on stationary Lorentz manifolds, Ergodic Theory and Dynamical Systems 256 (2014).

• R. Giambò, F. Giannoni, P. Piccione, Multiplicity results for orthogonal geodesic chords and applications, Journal of Fixed Point Theory and Applications 16 (2014), no. 1-2, 259-272. (Festschrift Volume in honor Prof. Granas)

• R. Giambò, F. Giannoni, P. Piccione, Examples with minimal number of brake orbits and homoclinics in annular potential regions. J. Differential Equations 256 (2014).

• R. G. Bettiol, P. Piccione, G. Siciliano, Deforming solutions of geometric variational problems with varying symmetry groups, Transformation Groups 19 (2014), no. 4, 941-968. Preprint available at arXiv:1403.4275.

• R. G. Bettiol, P. Piccione, G. Siciliano, Equivariant bifurcation in geometric variational problems, Progress in Nonlinear Differential Equations and Their Applications, Vol. 85 (2014), 103-133, Springer, arXiv:1308.3268.

• L. Lichtenfelz, P. Piccione, A. Zeghib, On the isometry group of Lorentz manifolds. Recent trends in Lorentzian geometry, 277-293, Springer Proc. Math. Stat., 26, Springer, New York, 2013.

• R. G. Bettiol, P. Piccione, Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions. Pacific J. Math. 266 (2013), no. 1, 1-21.

• R. G. Bettiol, P.; Piccione, Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres. Calc. Var. Partial Differential Equations 47 (2013), no. 3-4, 789-807.

• L. Alías, P. Piccione, Bifurcation of constant mean curvature tori in Euclidean spheres. J. Geom. Anal. 23 (2013), no. 2, 677-708.

• L. L. de Lima, P. Piccione, M. Zedda, A note on the uniqueness of solutions for the Yamabe problem. Proc. Amer. Math. Soc. 140 (2012), no. 12, 4351-4357.

• L. L. de Lima, P. Piccione, M. Zedda, On bifurcation of solutions of the Yamabe problem in product manifolds. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 2, 261-277.

• M. Koiso, B. Palmer, P. Piccione, Stability and bifurcation for surfaces with constant mean curvature, preprint 2015. To appear in Journal of the Mathematical Society of Japan.

• Marcelo Moreira Cavalcanti, Cesar Bortot, Valeria N. Domingos Cavalcanti, Paolo Piccione, Asymptotic stability for the Klein-Gordon equation on non compact Riemannian manifolds - a sharp result, preprint 2013. To appear in Applied Mathematics & Optimization, 2017

• M. Koiso, P. Piccione, T. Shoda, On bifurcation and local rigidity of triply periodic minimal surfaces in R³, arXiv:1408.0953.

• R. G. Bettiol, P. Piccione, B. Santoro, Deformations of free boundary CMC hypersurfaces and applications, preprint 2014, arXiv:1411.0354, to appear in the Journal of Geometric Analysis.

• R. G. Bettiol, P. Piccione, Infinitely many solutions to the Yamabe problem on noncompact manifolds, arXiv:1603.07788, to appear in Annales de l'Institut Fourier.

Here is the complete list of my publications, as it appears in MathSciNet.

Alternatively, you can download here a pdf file with my complete bibliography, as it appears in MathSciNet (September 2017).

• F. Mercuri, P. Piccione, D. V. Tausk, Notes on Morse theory, Publicações Matemáticas do IMPA, Rio de Janeiro, 2001, ISBN 85-244-0178-8.

• P. Piccione, D. V. Tausk, The theory of connections and G-structures. Applications to affine and isometric immersions, Publicações Matemáticas do IMPA, Rio de Janeiro, 2006, ISBN 85-244-0248-2.

• P. Piccione, D. V. Tausk, A students' guide to symplectic spaces, Grassmannians and Maslov index, Publicações Matemáticas do IMPA, Rio de Janeiro, 2008978-85-244-0283-8, ISBN 85-244-0248-2.

  Chapter of book

• R. Giambò, P. Piccione, Periodic trajectories of dynamical systems having a one-parameter group of symmetries, in Topics in modern differential geometry, Simon Stevin Institute lectures 2008 - 2009. Series: Simon Stevin Transactions on Geometry, vol. 1, eds.: S. Haesen and L. Verstraelen. ISBN: 978-90-815185-1-2. Simon Stevin Institute for Geometry, Mina Krusemanweg 2, 5032ME Tilburg, The Netherlands. (see also R. Giambò, P. Piccione, Periodic trajectories of dynamical systems having a one-parameter group of symmetries, Topics in modern differential geometry, 21-36, Atlantis Trans. Geom., 1, Atlantis Press, [Paris], 2017)

• R. Giambò, P. Piccione, A. Portaluri, On the Maslov index of symplectic paths that are not transversal to the Maslov cycle. Semi-Riemannian index theorems in the degenerate case. The material in this paper was plagiarized in the third author's Ph.D. Thesis. The first two authors have therefore decided to withdraw the paper, that will not be published. (arXiv: math.DG/0306187)

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