Isoparametric submanifolds
type: Item
instance of: scholarly article
title: Isoparametric submanifolds
zbMATH Open document ID: 0589.53060
DOI: 10.1007/BF00149586
published in: Geometriae Dedicata
publication date: 1986-01-01T00:00:00Z
review text: The author generalizes the definition of isoparametric submanifolds to higher codimensions as follows: a submanifold is isoparametric if the eigenvalues of the shape operator are constant along all parallel curves of normal vectors. Other definitions have been given by \textit{J. Eells} [On equivariant harmonic maps, Proc. Conf. Differ. Geom. and Differ. Equat. Fudan Univ. (China 1981; to appear)], \textit{S. Carter} and \textit{A. West} [Proc. Lond. Math. Soc., III. Ser. 51, 520-542 (1985)], and \textit{C.-L. Terng} [J. Differ. Geom. 21, 79-107 (1985)].
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 3947127
zbMATH Keywords: higher mean curvature forms
zbMATH Keywords: principal curvatures
zbMATH Keywords: isoparametric submanifolds
zbMATH Keywords: eigenvalues of the shape operator
author: Wolf Struebing
reviewed by: Gudlaugur Thorbergsson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00149586
OpenAlex ID: W4237777742
description: scientific article; zbMATH DE number 3947127