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Immersions with Semi-Definite Second Fundamental Forms

Published online by Cambridge University Press:  20 November 2018

Leo B. Jonker
Leo B. Jonker*
Affiliation:
Queen's University, Kingston, Ontario
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Let M be a. complete connected Riemannian manifold of dimension n and let £:M → Rn+k be an isometric immersion into the Euclidean space Rn+k. Let ∇ be the connection on Mn and let be the Euclidean connection on Rn+k. Also let

denote the second fundamental form B(X, Y) = (xY)→. Here TP(M) denotes the tangent space at p, NP(M) the normal space and (…)→ the normal component.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 3 , 01 June 1975 , pp. 610 - 617
Copyright
Copyright © Canadian Mathematical Society 1975

References

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