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Submanifolds satisfying some curvature conditions imposed on the Weyl tensor
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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