Synge-Beil and Riemann-Jacobi jet structures with applications to physics.
Notable curves in geometrized framework.
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups.
Jet geometrical extension of the KCC-invariants.
Einstein equations for -Berwald-Moor relativistic models.
The Tzitzeica surface as solution of PDE systems.
Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE.
Linear and structural stability of a cell division process model.
Distinguished geodesics and jacobi fields on first order jet spaces
In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
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