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Main Title: Non-closed minimal hypersurfaces of $S^4(1)$ with identically zero Gauss-Kronecker curvature
Author(s): Lusala, Tsasa
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/16913
http://dx.doi.org/10.14279/depositonce-15691
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We give a partial local description of minimal hypersurfaces $M^3$ with identically zero Gau\ss-Kronecker curvature function in the unit $4$-sphere $S^4{1}$, without assumption on the compactness of $M^3$.
Subject(s): minimal hypersurfaces in spheres
isoparametric hypersurfaces
identically zero Gauss-Kronecker curvature
nowhere zero second fundamental form
Issue Date: 18-Oct-2002
Date Available: 11-May-2022
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 53B25 Local submanifolds
53C40 Global submanifolds
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 747
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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