About Duality and Killing tensors
Dumitru Baleanu (Bogoliubov LTPh, JINR, Dubna,Russia)
TL;DR
This paper investigates the isometries of dual spaces and derives dual structural equations for second-order Killing tensors, with detailed analysis of the flat space case, contributing to the understanding of geometric symmetries.
Contribution
It introduces dual structural equations for Killing tensors and analyzes their properties, especially in flat space, advancing the theoretical understanding of geometric symmetries.
Findings
Derived dual structural equations for Killing tensors.
Analyzed isometries of dual spaces.
Provided detailed analysis for flat space case.
Abstract
In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found . The flat space case was analyzed in details.
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Taxonomy
TopicsElasticity and Wave Propagation · Elasticity and Material Modeling · Dynamics and Control of Mechanical Systems