Spherical Chen surfaces which are mass-symmetric and of 2-type
type: Item
instance of: scholarly article
title: Spherical Chen surfaces which are mass-symmetric and of 2-type
zbMATH Open document ID: 0653.53003
DOI: 10.1007/BF01230602
published in: Journal of Geometry
publication date: 1988-01-01T00:00:00Z
review text: The main result of this paper is the classification of spherical, mass- symmetric, 2-type Chen surfaces. The main result is stated as follows. Theorem. Let M be a mass-symmetric, 2-type Chen surface in a hypersphere S m of \(E^{m+1}\). Then M is either pseudo-umbilical or flat. If M is flat and not pseudo-umbilical, then M lies fully in a totally geodesic 3- sphere, or in a totally geodesic 5-sphere, or in a totally geodesic 7- sphere. In addition, the author constructs many examples of mass- symmetric, spherical, 2-type Chen surfaces.
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4065826
zbMATH Keywords: 2-type Chen surfaces
zbMATH Keywords: mass-symmetric
zbMATH Keywords: pseudo-umbilical
zbMATH Keywords: examples
author: Oscar J. Garay
reviewed by: Bang-Yen Chen
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01230602
OpenAlex ID: W1979243128
description: scientific article; zbMATH DE number 4065826