Geodesic
Gap properties of harmonic maps and submanifolds
Archivum mathematicum, Tome 41 (2005) no. 1, pp. 59-69 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this article, we obtain a gap property of energy densities of harmonic maps from a closed Riemannian manifold to a Grassmannian and then, use it to Gaussian maps of some submanifolds to get a gap property of the second fundamental forms.
In this article, we obtain a gap property of energy densities of harmonic maps from a closed Riemannian manifold to a Grassmannian and then, use it to Gaussian maps of some submanifolds to get a gap property of the second fundamental forms.
Classification : 53C43, 58E20
Keywords: Grassmannian; Gaussian map; mean curvature; the second fundamental form 
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Chen, Qun; Zhou, Zhen-Rong. Gap properties of harmonic maps and submanifolds. Archivum mathematicum, Tome 41 (2005) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/ARM_2005_41_1_a5/

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