TL;DR
This paper develops multi-time geometrical extensions of KCC-invariants to characterize second-order PDE systems on jet spaces, providing a new geometric framework with a characterization theorem.
Contribution
It introduces novel multi-time geometrical KCC-invariants for second-order PDEs and proves a theorem characterizing these invariants.
Findings
Extension of KCC-invariants to multi-time geometries
Characterization theorem for the new invariants
Application to second-order PDE systems on jet spaces
Abstract
In this paper we construct some multi-time geometrical extensions of the KCC-invariants, which characterize a given second-order system of PDEs on the 1-jet space . A theorem of characterization of these multi-time geometrical KCC-invariants is given.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Advanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows