Geodesic
Immersions with Semi-Definite Second Fundamental Forms
Canadian journal of mathematics, Tome 27 (1975) no. 3, pp. 610-617

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Jonker, Leo B. Immersions with Semi-Definite Second Fundamental Forms. Canadian journal of mathematics, Tome 27 (1975) no. 3, pp. 610-617. doi: 10.4153/CJM-1975-071-9
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