Total curvature of complete surfaces in hyperbolic space

Gil Solanes

doi:10.1016/j.aim.2010.03.015

Total curvature of complete surfaces in hyperbolic space

Gil Solanes

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

1 Citació (Scopus)

Resum

We prove a Gauss-Bonnet formula for the extrinsic curvature of complete surfaces in hyperbolic space under some assumptions on the asymptotic behavior. The result is given in terms of the measure of geodesics intersecting the surface non-trivially, and of a conformal invariant of the curve at infinity. © 2010 Elsevier Inc.

Idioma original	English
Pàgines (de-a)	805-825
Revista	Advances in Mathematics
Volum	225
DOIs	https://doi.org/10.1016/j.aim.2010.03.015
Estat de la publicació	Publicada - 1 de gen. 2010

Accés al document

10.1016/j.aim.2010.03.015

Com citar-ho

@article{052fca8050a44f18ad494cc54ae94807,

title = "Total curvature of complete surfaces in hyperbolic space",

abstract = "We prove a Gauss-Bonnet formula for the extrinsic curvature of complete surfaces in hyperbolic space under some assumptions on the asymptotic behavior. The result is given in terms of the measure of geodesics intersecting the surface non-trivially, and of a conformal invariant of the curve at infinity. {\textcopyright} 2010 Elsevier Inc.",

keywords = "53C65, Hyperbolic space, Integral geometry, Open surfaces, Total curvature",

author = "Gil Solanes",

year = "2010",

month = jan,

day = "1",

doi = "10.1016/j.aim.2010.03.015",

language = "English",

volume = "225",

pages = "805--825",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Total curvature of complete surfaces in hyperbolic space

AU - Solanes, Gil

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We prove a Gauss-Bonnet formula for the extrinsic curvature of complete surfaces in hyperbolic space under some assumptions on the asymptotic behavior. The result is given in terms of the measure of geodesics intersecting the surface non-trivially, and of a conformal invariant of the curve at infinity. © 2010 Elsevier Inc.

AB - We prove a Gauss-Bonnet formula for the extrinsic curvature of complete surfaces in hyperbolic space under some assumptions on the asymptotic behavior. The result is given in terms of the measure of geodesics intersecting the surface non-trivially, and of a conformal invariant of the curve at infinity. © 2010 Elsevier Inc.

KW - 53C65

KW - Hyperbolic space

KW - Integral geometry

KW - Open surfaces

KW - Total curvature

U2 - 10.1016/j.aim.2010.03.015

DO - 10.1016/j.aim.2010.03.015

M3 - Article

SN - 0001-8708

VL - 225

SP - 805

EP - 825

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Total curvature of complete surfaces in hyperbolic space

Resum

Accés al document

Fingerprint

Com citar-ho