Showing papers by "David E. Blair published in 2001"
DOI•
31 Dec 2001
TL;DR: In this paper, the authors introduced the contact Whitney sphere as an imbedding of the --dimensional unit sphere as integral submanifold of the standard contact structure on, and obtained a general inequality for integral sub-manifolds in, involving both the scalar curvature and the mean curvature.
Abstract: In this paper, we introduce the contact Whitney sphere as an imbedding of the --dimensional unit sphere as an integral submanifold of the standard contact structure on . We obtain a general inequality for integral submanifolds in , involving both the scalar curvature and the mean curvature, and we use the equality case in order to characterize the contact Whitney sphere. We also study a similar problem foranti-invariant submanifolds of , tangent to the structure vector field.
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