Une relation entre diamètre extrinsèque, intégrale de la courbure de Gauss et inradius pour les hypersurfaces localement convexes d'un espace euclidien. (A relation between external diameter, Gaussian curvature integral and inradius for locally convex

DOI10.1007/BF01159811zbMath0646.53056OpenAlexW1973808803MaRDI QIDQ1103890

François Labourie

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183750

zbMATH Keywords

diameterinradiusspherical imagelocally convex hypersurfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Inequalities and extremum problems involving convexity in convex geometry (52A40) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (1)

The convex hull property and topology of hypersurfaces with nonnegative curvature.

Cites Work

• Unnamed Item
• Partial Differential Relations
• Bonnesen-Style Isoperimetric Inequalities
• AN ESTIMATE FROM BELOW FOR THE SPATIAL DIAMETER OF A SURFACE IN TERMS OF ITS INTRINSIC RADIUS AND CURVATURE

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