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Immersions with Semi-Definite Second Fundamental Forms
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1975
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