Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Analytical Mechanics and Differential Geometry in honour of Sergio Benenti

The Guest Editors for this special issue are

Franco Cardin (Universitá degli Studi di Padova, Italy)
Claudia Chanu (Universitá degli Studi di Torino, Italy)
Ray McLenaghan (University of Waterloo, Canada)
Willard Miller Jr (University of Minnesota, USA)
Giovanni Rastelli (Universitá degli Studi di Torino, Italy)
Andrej Tsiganov (Saint Petersburg State University, Russia)

The aim of this special issue is to display the state of development of the research in several fields where Sergio Benenti gave important, sometimes seminal, contributions in the last decades. The spectrum of the topics covered by the articles collected here is therefore quite wide, ranging from separation of variables for Hamilton–Jacobi and Schrödinger equations to symplectic geometry, differential geometry, nonholonomic dynamics and more.

We are grateful to all the authors and referees who contributed to this project with their work.

The Guest Editors        

Papers in this Issue:

Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature
Krishan Rajaratnam, Raymond G. McLenaghan and Carlos Valero
SIGMA 12 (2016), 117, 30 pages   [ abs   pdf ]
Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
Sandra Carillo, Mauro Lo Schiavo and Cornelia Schiebold
SIGMA 12 (2016), 087, 17 pages   [ abs   pdf ]
Variational Sequences, Representation Sequences and Applications in Physics
Marcella Palese, Olga Rossi, Ekkehart Winterroth and Jana Musilová
SIGMA 12 (2016), 045, 45 pages   [ abs   pdf ]
Are Orthogonal Separable Coordinates Really Classified?
Konrad Schöbel
SIGMA 12 (2016), 041, 16 pages   [ abs   pdf ]
Meta-Symplectic Geometry of $3^{\rm rd}$ Order Monge-Ampère Equations and their Characteristics
Gianni Manno and Giovanni Moreno
SIGMA 12 (2016), 032, 35 pages   [ abs   pdf ]
Nijenhuis Integrability for Killing Tensors
Konrad Schöbel
SIGMA 12 (2016), 024,  4 pages   [ abs   pdf ]
Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
Giorgio Tondo and Piergiulio Tempesta
SIGMA 12 (2016), 023, 18 pages   [ abs   pdf ]
A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries
Paula Balseiro and Nicola Sansonetto
SIGMA 12 (2016), 018, 14 pages   [ abs   pdf ]
Separability in Riemannian Manifolds
Sergio Benenti
SIGMA 12 (2016), 013, 21 pages   [ abs   pdf ]
The Hojman Construction and Hamiltonization of Nonholonomic Systems
Ivan A. Bizyaev, Alexey V. Borisov and Ivan S. Mamaev
SIGMA 12 (2016), 012, 19 pages   [ abs   pdf ]
Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem
Jose F. Cariñena and Manuel F. Rañada
SIGMA 12 (2016), 010, 16 pages   [ abs   pdf ]
Extended Cosmologies
Salvatore Capozziello, Mariafelicia F. De Laurentis, Lorenzo Fatibene, Marco Ferraris and Simon Garruto
SIGMA 12 (2016), 006, 16 pages   [ abs   pdf ]
Harmonic Oscillator on the ${\rm SO}(2,2)$ Hyperboloid
Davit R. Petrosyan and George S. Pogosyan
SIGMA 11 (2015), 096, 23 pages   [ abs   pdf ]
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System
Claudia Maria Chanu, Luca Degiovanni and Giovanni Rastelli
SIGMA 11 (2015), 094,  9 pages   [ abs   pdf ]
On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems
Manuele Santoprete
SIGMA 11 (2015), 089, 11 pages   [ abs   pdf ]
Examples of Complete Solvability of 2D Classical Superintegrable Systems
Yuxuan Chen, Ernie G Kalnins, Qiushi Li and Willard Miller Jr.
SIGMA 11 (2015), 088, 51 pages   [ abs   pdf ]
On Integrable Perturbations of Some Nonholonomic Systems
Andrey V. Tsiganov
SIGMA 11 (2015), 085, 19 pages   [ abs   pdf ]

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