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Complete minimal hypersurfaces in with zero Gauss–Kronecker curvature

Published online by Cambridge University Press:  12 February 2007

TH. HASANIS
Affiliation:
Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece. e-mail: thasanis@cc.uoi.gr, me00499@cc.uoi.gr, tvlachos@cc.uoi.gr
A. SAVAS–HALILAJ
Affiliation:
Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece. e-mail: thasanis@cc.uoi.gr, me00499@cc.uoi.gr, tvlachos@cc.uoi.gr
TH. VLACHOS
Affiliation:
Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece. e-mail: thasanis@cc.uoi.gr, me00499@cc.uoi.gr, tvlachos@cc.uoi.gr

Abstract

We investigate the structure of 3-dimensional complete minimal hypersurfaces in the unit sphere with Gauss–Kronecker curvature identically zero.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2007

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References

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