On bounds for total absolute curvature of surfaces in hyperbolic 3-space

Rémi Langevin; Gil Solanes

doi:10.1016/S1631-073X(02)00003-1

On bounds for total absolute curvature of surfaces in hyperbolic 3-space

Rémi Langevin, Gil Solanes

Departament de Matemàtiques

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Resum

We construct examples of surfaces in hyperbolic space which do not satisfy the Chern-Lashof inequality (which holds for immersed surfaces in Euclidean space). © 2003 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	47-50
Revista	Comptes Rendus Mathematique
Volum	336
DOIs	https://doi.org/10.1016/S1631-073X(02)00003-1
Estat de la publicació	Publicada - 1 de gen. 2003

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10.1016/S1631-073X(02)00003-1

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https://www.scopus.com/pages/publications/0038445484

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title = "On bounds for total absolute curvature of surfaces in hyperbolic 3-space",

abstract = "We construct examples of surfaces in hyperbolic space which do not satisfy the Chern-Lashof inequality (which holds for immersed surfaces in Euclidean space). {\textcopyright} 2003 Acad{\'e}mie des sciences/{\'E}ditions scientifiques et m{\'e}dicales Elsevier SAS. All rights reserved.",

author = "R{\'e}mi Langevin and Gil Solanes",

year = "2003",

month = jan,

day = "1",

doi = "10.1016/S1631-073X(02)00003-1",

language = "English",

volume = "336",

pages = "47--50",

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TY - JOUR

T1 - On bounds for total absolute curvature of surfaces in hyperbolic 3-space

AU - Langevin, Rémi

AU - Solanes, Gil

PY - 2003/1/1

Y1 - 2003/1/1

N2 - We construct examples of surfaces in hyperbolic space which do not satisfy the Chern-Lashof inequality (which holds for immersed surfaces in Euclidean space). © 2003 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

AB - We construct examples of surfaces in hyperbolic space which do not satisfy the Chern-Lashof inequality (which holds for immersed surfaces in Euclidean space). © 2003 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

UR - https://www.scopus.com/pages/publications/0038445484

U2 - 10.1016/S1631-073X(02)00003-1

DO - 10.1016/S1631-073X(02)00003-1

M3 - Article

SN - 1631-073X

VL - 336

SP - 47

EP - 50

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

On bounds for total absolute curvature of surfaces in hyperbolic 3-space

Resum

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