Total Extrinsic Curvature of Certain Distributions on Closed Spaces of Constant Curvature

Author: Brito F.B.  

Publisher: Springer Publishing Company

ISSN: 0232-704X

Source: Annals of Global Analysis and Geometry, Vol.18, Iss.3-4, 2000-08, pp. : 371-383

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Abstract

An integral formula for symmetric functions of curvature of distributions on closed constant nonnegative sectional curvature spaces is proved. The distributions under consideration are orthogonal to a totally geodesic foliation and the main theorem extends a previous result concerning the total curvature of codimension-one foliations.