David J. Saunders (2011)
Communications in Mathematics
Similarity:
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension . In this minicourse we discuss these problems from a geometric point of view.
Krupka, D., Krupka, M. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Saunders, D.J. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Casciaro, Biagio C., Konderak, Jerzy J. (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Similarity:
Popescu, Marcela, Popescu, Paul (2010)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Svetlichny, George (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Borowiec, A., Ferraris, M., Francaviglia, M., Palese, M. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Similarity:
Crăciun, Dumitru, Opriş, Dumitru (1996)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Olga Krupková (2010)
Communications in Mathematics
Similarity:
In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where the constraint manifold is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior differential system on the constraint manifold. The approach admits to apply coordinate independent methods, and is not limited to Lagrangian systems under linear constraints. The new methods apply to general (possibly nonconservative) mechanical...