Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14733
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Main Title: Intersections of quadrics with spheres
Author(s): Lusala, Tsasa
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15960
http://dx.doi.org/10.14279/depositonce-14733
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: In Euclidean space $\R^{n+2}$ we study the intersections of central quadrics with spheres where we consider the intersections as hypersurfaces in $\S^{n+1}(1)$. It is our aim to characterize such intersections within the class of all hypersurfaces in $\S^{n+1}(1)$ with Weingarten operator of maximal rank. The methods we use are similar to methods from affine hypersurface theory.
Subject(s): quadrics
polar pairs
isoparametric hypersurfaces
Issue Date: 1-Dec-2000
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 53A15 Affine differential geometry
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2000, 678
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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