Harmonic Maps between Generalized Lagrange Spaces
Mircea Neagu
TL;DR
This paper explores harmonic maps between generalized Lagrange spaces and demonstrates that solutions to specific ODEs and PDEs can be interpreted as harmonic maps within these spaces.
Contribution
It introduces a novel framework linking harmonic maps to solutions of differential equations in generalized Lagrange spaces.
Findings
Solutions of certain ODEs and PDEs are harmonic maps between generalized Lagrange spaces.
Establishes a new geometric interpretation for differential equation solutions.
Provides mathematical foundations for further research in generalized Lagrange geometry.
Abstract
In this paper are studied the harmonic maps between two generalized Lagrange spaces. At the same time, it is proved that the solutions of class of certain ODEs or PDEs are harmonic maps between certain convenient generalized Lagrange spaces.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Fixed Point Theorems Analysis