IJPAM: Volume 38, No. 1 (2007)
A CONTRIBUTION TO GEOMETRIC INEQUALITIES
IN EUCLIDEAN SPACE FORMS
IN EUCLIDEAN SPACE FORMS
Eberhard Teufel
Department of Mathematics
Institute of Geometry and Topology (IGT)
University of Stuttgart
Stuttgart, 70550, GERMANY
e-mail: Eberhard.Teufel@mathematik.uni-stuttgart.de
Department of Mathematics
Institute of Geometry and Topology (IGT)
University of Stuttgart
Stuttgart, 70550, GERMANY
e-mail: Eberhard.Teufel@mathematik.uni-stuttgart.de
Abstract.The aim of this article are Fenchel-Fáry-type inequalities,
isoperimetric inequalities of Banchoff-Pohl-type for
closed curves in Euclidean space forms and Fenchel-Fáry-type inequalities
for closed surfaces in Euclidean spaces.
Received: April 12, 2007
AMS Subject Classification: 53C40, 53C65, 53A04, 53A05
Key Words and Phrases: Fenchel-Fáry inequalities, isoperimetric inequalities, Euclidean space forms, total absolute curvature, curves, surfaces
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 38
Issue: 1
