On the Gauss map of submanifolds. I.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1035.53013
publication date: 2000-01-01T00:00:00Z
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1663570
zbMATH Keywords: submanifold
zbMATH Keywords: Grassmannian manifold
zbMATH Keywords: Gauss map
zbMATH Keywords: harmonic map
author: Xueshan Zhang
MaRDI profile type: Publication
title: On the Gauss map of submanifolds. I.
published in: Journal of Yantai University. Natural Science and Engineering
review text: Let \(M\) be a submanifold isometrically immersed in \(N\), a hypersurface of the Euclidean space \(E^{n+1}\). The author studies the Gauss map of \(M\) and by determining the differential of the Gauss map, the relationships among the Ricci curvature, the second and the third fundamental forms of \(M\) are established.
reviewed by: Huafei Sun
description: scientific article; zbMATH DE number 1663570