Maillot, Henry Sur la courbure des sous-variétés d’un espace euclidien. (French) Zbl 0533.53002 C. R. Acad. Sci., Paris, Sér. I 297, 651-654 (1983). Given a tangent vector v of a submanifold V of Euclidean space E, we take a curve c in V with initial vector v. Parallel transport in the tangent and normal bundle along c induces a local 1-parameter group of Euclidean motions. Its Killing vector field X on E depends only on v. The author studies X in relation to the curvatures of V and to the limits of intersections of tangent or normal spaces. Reviewer: D.Ferus Cited in 1 ReviewCited in 1 Document MSC: 53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces Keywords:submanifold; Parallel transport; Killing vector field PDFBibTeX XMLCite \textit{H. Maillot}, C. R. Acad. Sci., Paris, Sér. I 297, 651--654 (1983; Zbl 0533.53002)