Below is my list of published
papers:
- P. Piccione, D. Tausk, The Morse Index
Theorem in semi-Riemannian Geometry, Topology 41 (2002), no. 6, pgs. 1123-1159.
- P. Piccione, D. Tausk, A Note on the
Morse Index Theorem for Geodesics between Submanifolds in semi-Riemannian
Geometry, Journal of Mathematical Physics 40, vol. 12 (1999),
pp. 6682-6688.
- P. Piccione, D. Tausk, The Maslov Index
and a Generalized Morse Index Theorem for Non Positive Definite Metrics,
Comptes Rendus de l'Académie de Sciences (Paris), vol. 331, issue 5 (2000),
pp. 385--389.
- P. Piccione, D. V. Tausk, An Index
Theorem for Non Periodic Solutions of Hamiltonian Systems, Proceedings
of the London Mathematical Society (3) 83 (2001), pgs. 351-389.
- F. Giannoni, A. Masiello, P. Piccione, D. V.
Tausk, A Generalized Index Theorem for Morse-Sturm Systems and
Applications to semi-Riemannian Geometry, Asian Journal of Mathematics,
vol. 5, n. 3 (2001), pgs. 441-472.
- P. Piccione, D. V. Tausk, On the Banach
Differential Structure for Sets of Maps on Non-Compact Domains, Journal
of Nonlinear Analysis: Series A Theory and Methods, 46 (2001), pgs.
245-265.
- P. Piccione, D. Tausk, Variational
Aspects of the sub-Riemannian Geodesic Problem, Journal of Geometry and
Physics, 39 (2001), pgs. 183-206.
- F. Giannoni, P. Piccione, D. V. Tausk, Morse
Theory for the Travel Time Brachistochrones in Stationary Spacetimes,
Discrete and Continuous Dynamical Systems, vol. 8, N. 3, 2002 (pgs.
697-724).
- P. Piccione, D. V. Tausk, On the Maslov
and the Morse Index for Constrained Variational Problems, Journal de
Mathématiques Pures et Appliquées, vol. 81, 2002 (pgs. 403-437).
- J. C. Correa Eidam, A. L. Pereira, P.
Piccione, D. V. Tausk, On the Equality between the Maslov Index and the
Spectral Index for the semi-Riemannian Jacobi Operator, Journal of
Mathematical Analysis and Applications, vol. 268, No. 2 (2002), 564-589.
- L. Biliotti, F. Mercuri, D. V. Tausk, A
Note on Tensor Fields in Hilbert Spaces, Anais da Academia Brasileira
de Ciencias, 74(2), 2002, pgs 207-210.
- P. Piccione, D. Tausk, Lagrangian and
Hamiltonian Formalism for Constrained Variational Problems, Proceedings
of the Royal Society of Edinburgh, 132A, 1417-1437, 2002.
- F. Mercuri, P. Piccione, D. Tausk, Stability
of the Conjugate Index, Degenerate Conjugate Points and the Maslov Index in
semi-Riemannian Geometry, Pacific Journal of Mathematics, vol. 206, No.
2 (2002), pgs. 375-400.
- P. Piccione, D. Tausk, An Index Theory
for Paths that are Solutions of a Class of Strongly Indefinite Variational
Problems, Calculus of Variations and PDE's 15 (2002), no. 4, pgs. 529-551.