The next variational prolongation of the Euclidean space
Roman Matsyuk
TL;DR
This paper derives the unique third-order invariant variational equation in three-dimensional (pseudo)Euclidean space, contributing to the understanding of invariant variational equations in geometric contexts.
Contribution
It introduces the first explicit form of a third-order invariant variational equation in three-dimensional Euclidean and pseudo-Euclidean spaces.
Findings
Derived the unique third-order invariant variational equation.
Established invariance properties under Euclidean and pseudo-Euclidean transformations.
Contributed to the theory of invariant variational equations in geometric analysis.
Abstract
The unique third-order invariant variational equation in three-dimensional (pseudo)Euclidean space is derived.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Modeling in Engineering · Thermoelastic and Magnetoelastic Phenomena