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PSEUDO-PARALLEL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE OF SPACE FORMS

Published online by Cambridge University Press:  24 March 2006

G. A. LOBOS  and
R. TOJEIRO
G. A. LOBOS
Affiliation:
Universidade Federal de São Carlos, 13565-905-São Carlos, Brazil e-mail: lobos@dm.ufscar.br, tojeiro@dm.ufscar.br
R. TOJEIRO
Affiliation:
Universidade Federal de São Carlos, 13565-905-São Carlos, Brazil e-mail: lobos@dm.ufscar.br, tojeiro@dm.ufscar.br
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Abstract

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We provide a complete local classification of pseudo-parallel sub-manifolds with flat normal bundle of space forms, extending the classification by Dillen-Nölker for the semi-parallel case.

Keywords

53B25

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 171 - 177
Copyright
2006 Glasgow Mathematical Journal Trust