Submanifolds with totally geodesic Gauss image
type: Item
instance of: scholarly article
title: Submanifolds with totally geodesic Gauss image
zbMATH Open document ID: 0532.53018
DOI: 10.1007/BF00147654
author: Bang-Yen Chen
author: Seiichi Yamaguchi
published in: Geometriae Dedicata
publication date: 1984-01-01T00:00:00Z
review text: This is a continuation for higher dimensions of the author's paper [Indiana Univ. Math. J. 32, 143-154 (1983; Zbl 0471.53004]. Beyond the property of totally geodesic Gauss map (into the Grassmannian) additional assumptions like ''conformal Gauss map'' or ''flat normal connection'' are needed to obtain significant consequences.
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 3844547
zbMATH Keywords: Gauss map
zbMATH Keywords: totally geodesic
zbMATH Keywords: conformally flat
reviewed by: Dirk Ferus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00147654
OpenAlex ID: W1971681452
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description: scientific article; zbMATH DE number 3844547