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A sufficient condition is given in order that the characteristic of a compact homogenous space G/H be null. Such a condition is expressed through the existence of elements of stability in the Lie algebra of G.
A sufficient condition is given so that the p-sectional curvature and Pontrjagin classes of a compact homogeneous space G/H be null (p, even number; n, dimension of G/H; 0 < p < n).
Da una condizione necessaria per l'esistenza di
distribuzioni complementari su una varietà si deducono legami tra le classi di Pontrjagin delle distribuzioni e dei fibrati trasversi.
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