Escudero, Carlos Arturo; Reventós, Agustí; Solanes, Gil Focal sets in two-dimensional space forms. (English) Zbl 1152.53063 Pac. J. Math. 233, No. 2, 309-320 (2007). Summary: 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. Cited in 1 Document MSC: 53C65 Integral geometry 53A04 Curves in Euclidean and related spaces 52A10 Convex sets in \(2\) dimensions (including convex curves) 52A15 Convex sets in \(3\) dimensions (including convex surfaces) 52A55 Spherical and hyperbolic convexity Keywords:curvature; focal sets; space forms; convex PDF BibTeX XML Cite \textit{C. A. Escudero} et al., Pac. J. Math. 233, No. 2, 309--320 (2007; Zbl 1152.53063) Full Text: DOI