Focal sets in two-dimensional space forms

Carlos Arturo Escudero; Agustí Reventós; Gil Solanes

doi:https://doi.org/10.2140/pjm.2007.233.309

Focal sets in two-dimensional space forms

Carlos Arturo Escudero, Agustí Reventós, Gil Solanes

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

We relate the area of a convex set in a 2-dimensional space of constant curvature with some integrals over the curvature radius at its boundary.

Original language	English
Pages (from-to)	309-320
Journal	Pacific Journal of Mathematics
Volume	233
DOIs	https://doi.org/10.2140/pjm.2007.233.309
Publication status	Published - 1 Dec 2007

Keywords

Convex
Curvature
Focal sets
Space forms

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https://doi.org/10.2140/pjm.2007.233.309

Cite this

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title = "Focal sets in two-dimensional space forms",

abstract = "We relate the area of a convex set in a 2-dimensional space of constant curvature with some integrals over the curvature radius at its boundary.",

keywords = "Convex, Curvature, Focal sets, Space forms",

author = "Escudero, {Carlos Arturo} and Agust{\'i} Revent{\'o}s and Gil Solanes",

year = "2007",

month = dec,

day = "1",

doi = "https://doi.org/10.2140/pjm.2007.233.309",

language = "English",

volume = "233",

pages = "309--320",

journal = "Pacific Journal of Mathematics",

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publisher = "University of California, Berkeley",

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T1 - Focal sets in two-dimensional space forms

AU - Escudero, Carlos Arturo

AU - Reventós, Agustí

AU - Solanes, Gil

PY - 2007/12/1

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N2 - We relate the area of a convex set in a 2-dimensional space of constant curvature with some integrals over the curvature radius at its boundary.

AB - We relate the area of a convex set in a 2-dimensional space of constant curvature with some integrals over the curvature radius at its boundary.

KW - Convex

KW - Curvature

KW - Focal sets

KW - Space forms

U2 - https://doi.org/10.2140/pjm.2007.233.309

DO - https://doi.org/10.2140/pjm.2007.233.309

M3 - Article

SN - 0030-8730

VL - 233

SP - 309

EP - 320

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

ER -

Focal sets in two-dimensional space forms

Abstract

Keywords

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