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Finsler geometry from the elastic wave equation Ilmavirta, Joonas
Description
The singularities of solutions of the elastic wave equation follow a certain flow on cotangent bundle. For a typical anisotropic stiffness tensor this not the cogeodesic of a Riemannian geometry. But with a tiny additional assumption the singularities of the fastest polarization do correspond to a Finsler geometry. I will discuss the arising geometrical structure and some recent results in Finsler geometry arising from elasticity.
Item Metadata
Title |
Finsler geometry from the elastic wave equation
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-04-16T14:18
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Description |
The singularities of solutions of the elastic wave equation follow a
certain flow on cotangent bundle. For a typical anisotropic stiffness
tensor this not the cogeodesic of a Riemannian geometry. But with a
tiny additional assumption the singularities of the fastest
polarization do correspond to a Finsler geometry. I will discuss the
arising geometrical structure and some recent results in Finsler
geometry arising from elasticity.
|
Extent |
45.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Jyväskylä
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Series | |
Date Available |
2019-10-14
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0383388
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International