Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature
Archivum Mathematicum (2014)
- Volume: 050, Issue: 4, page 219-236
- ISSN: 0044-8753
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topCufí, Julià, and Reventós, Agustí. "Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature." Archivum Mathematicum 050.4 (2014): 219-236. <http://eudml.org/doc/262116>.
@article{Cufí2014,
abstract = {We relate the total curvature and the isoperimetric deficit of a curve $\gamma $ in a two-dimensional space of constant curvature with the area enclosed by the evolute of $\gamma $. We provide also a Gauss-Bonnet theorem for a special class of evolutes.},
author = {Cufí, Julià, Reventós, Agustí},
journal = {Archivum Mathematicum},
keywords = {curvature; evolutes; isoperimetric deficit; Gauss-Bonnet; curvature; evolutes; isoperimetric deficit; Gauss-Bonnet},
language = {eng},
number = {4},
pages = {219-236},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature},
url = {http://eudml.org/doc/262116},
volume = {050},
year = {2014},
}
TY - JOUR
AU - Cufí, Julià
AU - Reventós, Agustí
TI - Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 4
SP - 219
EP - 236
AB - We relate the total curvature and the isoperimetric deficit of a curve $\gamma $ in a two-dimensional space of constant curvature with the area enclosed by the evolute of $\gamma $. We provide also a Gauss-Bonnet theorem for a special class of evolutes.
LA - eng
KW - curvature; evolutes; isoperimetric deficit; Gauss-Bonnet; curvature; evolutes; isoperimetric deficit; Gauss-Bonnet
UR - http://eudml.org/doc/262116
ER -
References
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