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- W3149221829 abstract "In this paper we give a geometric interpretation of the notion of the horizontal mean curvature which is introduced by Danielli-Garofalo-Nhieu and Pauls who recently introduced sub- Riemannian minimal surfaces in Carnot groups.This will be done by introducing a natural nonholo- nomic connection which is the restriction(projection)of the natural Riemannian connection on the horizontal bundle.For this nonholonomic connection and(intrinsic)regular hypersurfaces we introduce the notions of the horizontal second fundamental form and the horizontal shape operator.It turns out that the horizontal mean curvature is the trace of the horizontal shape operator." @default.
- W3149221829 created "2021-04-13" @default.
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- W3149221829 date "2006-01-01" @default.
- W3149221829 modified "2023-09-25" @default.
- W3149221829 title "Horizontal Connection and Horizontal Mean Curvature in Carnot Groups" @default.
- W3149221829 hasPublicationYear "2006" @default.
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