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I.R. "OLYMPIAS"
Article . 1995
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Annals of Global Analysis and Geometry
Article . 1995 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 1995
Data sources: zbMATH Open
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Hypersurfaces with constant scalar curvature and constant mean curvature

Authors: Hasanis, T.; Vlachos, T.;

Hypersurfaces with constant scalar curvature and constant mean curvature

Abstract

According to the authors' abstract, ``non-spherical hypersurfaces in \(E^ 4\) with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues the zero and a non-zero constant''.

Related Organizations
Keywords

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), mean curvature, scalar curvature, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, constant mean curvature, hypersurfaces in \(E^ 4\), hypersurface, constant scalar curvature, eigenmaps of the Laplacian

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
Green
Beta
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