Submanifolds satisfying some curvature conditions imposed on the Weyl tensor
2003 ◽
Vol 67
(1)
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pp. 95-101
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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).
2018 ◽
Vol 50
(9)
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pp. 1-24
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Keyword(s):
1956 ◽
Vol 52
(3)
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pp. 424-430
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1963 ◽
Vol 59
(1)
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pp. 135-146
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2013 ◽
Vol 13
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pp. 1183-1224
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pp. 622-642
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Vol 17
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pp. 619-625
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1956 ◽
Vol 8
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pp. 256-262
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