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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
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2018-03-26T14:51
|
| 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
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
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| Notes |
Author affiliation: University of Alberta
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| Series | |
| Date Available |
2018-09-22
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| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0372136
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International