Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

Julià Cufí; Agustí Reventós

doi:10.5817/AM2014-4-219

Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

Julià Cufí, Agustí Reventós

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

1 Citació (Scopus)

Resum

© 2014, Masarykova Universita. All rights reserved. We relate the total curvature and the isoperimetric deficit of a curve γ in a two-dimensional space of constant curvature with the area enclosed by the evolute of γ. We provide also a Gauss-Bonnet theorem for a special class of evolutes.

Idioma original	Anglès
Pàgines (de-a)	219-236
Revista	Archivum Mathematicum
Volum	50
Número	4
DOIs	https://doi.org/10.5817/AM2014-4-219
Estat de la publicació	Publicada - 1 de gen. 2014

Accés al document

10.5817/AM2014-4-219

Altres arxius i enllaços

https://www.scopus.com/pages/publications/84915798279

Com citar-ho

@article{c52ad085e67f4298a53ffa89a97b9dbb,

title = "Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature",

abstract = "{\textcopyright} 2014, Masarykova Universita. All rights reserved. We relate the total curvature and the isoperimetric deficit of a curve γ in a two-dimensional space of constant curvature with the area enclosed by the evolute of γ. We provide also a Gauss-Bonnet theorem for a special class of evolutes.",

keywords = "Curvature, Evolutes, Gauss-Bonnet, Isoperimetric deficit",

author = "Juli{\`a} Cuf{\'i} and Agust{\'i} Revent{\'o}s",

year = "2014",

month = jan,

day = "1",

doi = "10.5817/AM2014-4-219",

language = "English",

volume = "50",

pages = "219--236",

journal = "Archivum Mathematicum",

issn = "0044-8753",

publisher = "Masaryk University",

number = "4",

}

TY - JOUR

T1 - Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

AU - Cufí, Julià

AU - Reventós, Agustí

PY - 2014/1/1

Y1 - 2014/1/1

N2 - © 2014, Masarykova Universita. All rights reserved. We relate the total curvature and the isoperimetric deficit of a curve γ in a two-dimensional space of constant curvature with the area enclosed by the evolute of γ. We provide also a Gauss-Bonnet theorem for a special class of evolutes.

AB - © 2014, Masarykova Universita. All rights reserved. We relate the total curvature and the isoperimetric deficit of a curve γ in a two-dimensional space of constant curvature with the area enclosed by the evolute of γ. We provide also a Gauss-Bonnet theorem for a special class of evolutes.

KW - Curvature

KW - Evolutes

KW - Gauss-Bonnet

KW - Isoperimetric deficit

UR - https://www.scopus.com/pages/publications/84915798279

U2 - 10.5817/AM2014-4-219

DO - 10.5817/AM2014-4-219

M3 - Article

SN - 0044-8753

VL - 50

SP - 219

EP - 236

JO - Archivum Mathematicum

JF - Archivum Mathematicum

IS - 4

ER -

Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

Resum

Accés al document

Altres arxius i enllaços

Fingerprint

Com citar-ho