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RESEARCH PRODUCT

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

Rémi LangevinGil Solanes

subject

Surface (mathematics)Differential geometryEuclidean spaceHyperbolic spaceMathematical analysisHyperbolic manifoldTotal curvatureGeneral MedicineCurvatureHyperbolic triangleMathematics

description

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). To cite this article: R. Langevin, G. Solanes, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

https://doi.org/10.1016/s1631-073x(02)00003-1