TL;DR
This paper introduces a new deformation of the exterior derivative that is bounded, preserves geometric symmetries, and satisfies a wave equation consistent with the strong Huygens principle across all dimensions.
Contribution
It proposes a novel bounded deformation of the exterior derivative that maintains symmetries and adheres to the strong Huygens principle in wave equations.
Findings
Deformation is bounded and symmetry-preserving.
Satisfies a modified wave equation.
Honors the strong Huygens principle in all dimensions.
Abstract
We define a deformation of the exterior derivative that is a bounded operator and preserves the symmetries of the geometry. It satisfies a modified wave equation that honors the strong Huygens principle in all dimensions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Algebraic and Geometric Analysis · Advanced Mathematical Physics Problems