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Total Extrinsic Curvature of Certain Distributions on Closed Spaces of Constant Curvature |
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| Authors: | F. B. Brito A. M. Naveira |
| Affiliation: | (1) Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, CEP-05315–970 São Paulo, Brasil;(2) Departamento de Geometría y Topología, Facultad de Matemáticas, C/ Dr. Moliner 50, 46100 Burjassot Valencia, Spain |
| Abstract: | An integral formula for symmetric functions of curvature ofdistributions on closed constant nonnegative sectional curvature spacesis proved. The distributions under consideration are orthogonal to atotally geodesic foliation and the main theorem extends a previousresult concerning the total curvature of codimension-one foliations. |
| Keywords: | curvature distributions foliations integral formula totally geodesic |
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