Artículo
The contact Whitney sphere
Autor/es | Blair, David E.
Carriazo Rubio, Alfonso |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2001 |
Fecha de depósito | 2016-11-10 |
Publicado en |
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Resumen | In this paper, we introduce the contact Whitney sphere as an imbedding of the n-dimensional unit sphere as an integral submanifold of the standard contact structure on R2n+1. We obtain a general inequality for integral ... In this paper, we introduce the contact Whitney sphere as an imbedding of the n-dimensional unit sphere as an integral submanifold of the standard contact structure on R2n+1. We obtain a general inequality for integral submanifolds in R2n+1, 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 for anti-invariant submanifolds of R2n+1, tangent to the structure vector field. |
Agencias financiadoras | Junta de Andalucía |
Cita | Blair, D.E. y Carriazo Rubio, A. (2001). The contact Whitney sphere. Note di Matematica, 20 (2), 125-133. |
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