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Keywords:
Grassmannian; Gaussian map; mean curvature; the second fundamental form
Grassmannian; Gaussian map; mean curvature; the second fundamental form
Summary:
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.
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