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Submanifolds satisfying some curvature conditions imposed on the Weyl tensor

Published online by Cambridge University Press:  17 April 2009

Cihan Özgür
Cihan Özgür
Affiliation:
Department of Mathematics, Balikesir University, 10100, Balikesir, Turkey, e-mail: [email protected]
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Abstract

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In this paper we define Weyl semiparallel ( · h = 0) and Weyl 2-semiparallel ( · h = 0) submanifolds. We consider n-dimensional normally flat submanifolds satisfying these curvature conditions in (n + d)-dimensional Euclidean space n+d. We also consider normally flat submanifolds in (n + d)-dimensional Euclidean space n+d satisfying the condition  · h = LQ (g, h) and  · h = LQ(g, h).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 95 - 101
Copyright
Copyright © Australian Mathematical Society 2003

References

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