Geodesic
Submanifold theory and parallel transport
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 33 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A geometrical interpretation of semi-parallel submanifolds is presented in terms of parallel transport of the second fundamental form around an infinitesimal coordinate parallelogram. Further, a new scalar curvature invariant of the immersion is introduced. Isotropy of this invariant at every point means that the submanifold is pseudo-parallel.
Classification : 53A55 53B20 53C42
Keywords: Submanifolds, semi-parallel, pseudo-parallel, parallel transport. 
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Franki Dillen; Johan Fastenakels; Stefan Haesen; Joeri Van der Veken; Leopold Verstraelen. Submanifold theory and parallel transport. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 33 . http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a2/