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An extension of polynomial integrability to dual quermassintegrals Yaskin, Vladyslav
Description
A body $K$ is called polynomially integrable if its parallel section function $V_{n-1}(K\cap\{\xi^\perp+t\xi\})$ is a polynomial of $t$ (on its support) for every $\xi$. A complete characterization of such bodies was given recently. Here we obtain a generalization of these results in the setting of dual quermassintegrals. We also address the associated smoothness issues.
Item Metadata
| Title |
An extension of polynomial integrability to dual quermassintegrals
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2018-03-26T14:51
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| Description |
A body $K$ is called polynomially integrable if its parallel
section function $V_{n-1}(K\cap\{\xi^\perp+t\xi\})$ is a polynomial of
$t$ (on its support) for every $\xi$. A complete characterization of
such bodies was given recently.
Here we obtain a generalization of these results in the setting of
dual quermassintegrals. We also address the associated smoothness
issues.
|
| Extent |
31 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 Alberta
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| Series | |
| Date Available |
2018-09-23
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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 |
10.14288/1.0372136
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International