An integral formula for a riemannian manifold with two ortogonal distributions
Acta Universitatis Lodziensis. Folia Mathematica, Tome 07 (1995).

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We derive global results concerning integrals of curvatures for closed oriented Riemannian manifolds.
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     author = {Maria Banaszczyk},
     title = {An integral formula for a riemannian manifold with two ortogonal distributions},
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Maria Banaszczyk. An integral formula for a riemannian manifold with two ortogonal distributions. Acta Universitatis Lodziensis. Folia Mathematica, Tome 07 (1995). http://geodesic.mathdoc.fr/item/AULFM_1995_07_a12/