| Title:
|
Curvature functionals for curves in the equi-affine plane (English) |
| Author:
|
Verpoort, Steven |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
419-435 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail. Notice. An extended version of this article is available on arXiv:0912.4075. (English) |
| Keyword:
|
curvature functionals |
| Keyword:
|
variational problems |
| Keyword:
|
affine curves |
| MSC:
|
49K05 |
| MSC:
|
49K15 |
| MSC:
|
49Q05 |
| MSC:
|
53A15 |
| idZBL:
|
Zbl 1249.49028 |
| idMR:
|
MR2905414 |
| DOI:
|
10.1007/s10587-011-0064-4 |
| . |
| Date available:
|
2011-06-06T10:32:56Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141544 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[21] Verpoort, S.: Curvature Functionals for Curves in the Equi-Affine Plane (an extended version of the current article).arXiv:0912.4075. MR 2905414 |
| . |
