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Focal sets in
two-dimensional space forms
Carlos Arturo Escudero, Agustí Reventós and Gil Solanes |
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Vol. 233 (2007), No. 2, 309–320
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Abstract |
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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
curvature, focal sets, space forms, convex
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Mathematical Subject Classification 2000
Primary: 53C65, 53A04
Secondary: 52A10, 52A15, 52A55
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Milestones
Received: 15 December 2006
Revised: 26 June 2007
Accepted: 9 July 2007
Published: 1 December 2007
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Authors |
| Carlos Arturo Escudero | |
| Departamento de Matemáticas Universidad Tecnológica de Pereira A.A.097 Pereira, Risaralda Colombia |
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| Agustí Reventós | |
| Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra (Cerdanyola del Vallès) Spain |
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| Gil Solanes | |
| Departament d’Àlgebra i
Geometria Universitat de Barcelona Gran Via de les Corts Catalanes 585 08007 Barcelona Spain |
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