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Main Title: Intrinsic and Extrinsic Geometry of Ovaloids and Rigidity
Author(s): Simon, Udo
Vrancken, Luc
Wang, Changping
Wiehe, Martin
Type: Research Paper
Abstract: Our main result is that an ovaloid with nowhere dense umbilics and prescribed Weingarten operator and spherical volume form is rigid in Euclidean 3-space. In case of an ovaloid of revolution we can drop the assumption on the volume form.
Subject(s): ovaloids
global rigidity
Weingarten operator
surfaces of revolution
Issue Date: 1-Feb-2000
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 53C42 Immersions
53C24 Rigidity results
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2000, 687
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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