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Main Title: Generating higher order Codazzi tensors by functions
Author(s): Leder, Judith
Schwenk-Schellschmidt, Angela
Simon, Udo
Wiehe, Martin
Type: Research Paper
Abstract: We study higher order Codazzi tensors on constant curvature spaces and show how they can be generated by functions. We give applications in Riemannian geometry and hypersurface theory; in particular we characterize ellipsoids in terms of second order spherical harmonics.
Subject(s): Codazzi tensors
spherical harmonics
Riemannian sphere
projective structures
Issue Date: 29-Jan-1998
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 53A05 Surfaces in Euclidean space
53A15 Affine differential geometry
53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions
53C40 Global submanifolds
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 1998, 604
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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