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Main Title: Hypersurfaces with Locally Symmetric Conormal Connection
Author(s): Wiehe, Martin
Type: Research Paper
Abstract: This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Gau\ss{} conormal map in affine geometry. It is known that the rank of the shape operator is of importance to this topic. In dimension two we give new results for an arbitrary shape operator. In the case of a non degenerate shape operator hypersurfaces with locally symmetric conormal connection can be treated as semi-Euclidean hypersurfaces. Moreover, we study whether and in which way a locally symmetric, projectively flat connection can be realized as the conormal connection of a hypersurface.
Subject(s): projectively flat connections
locally symmetric connections
Issue Date: 30-Nov-1997
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 53A15 Affine differential geometry
53B05 Linear and affine connections
53C35 Symmetric spaces
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 1997, 546
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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