Integral distance on a Lipschitz Riemannian manifold.
LIP manifolds: from metric to Finslerian structure.
Generalizzazione del concetto di traccia di un endomorfismo
In this Note I we propose, by means of the Grothendieck group , an intrinsic definition of the trace of a vector space endomorphism, particularly convenient in the infinite dimensional case. The following Note II will then establish the connection of our definition with other ones given by different Authors.
Generalizzazione del concetto di traccia di un endomorfismo
Cf. the Summary of Note I, appeared in the previous issue of these «Rendiconti» at p. 115.
Algebra di Lie e curvature p-sezionali di uno spazio omogeneo compatto
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).
Complementary distributions and Pontrjagin classes
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.
Length of curves on Lip manifolds
In this paper the length of a curve on a Lipschitz Riemannian manifold is defined. It is shown that the above definition is consistent with the definition of the geodesic distance already introduced by the authors, both in a geometrical and analytical way.
-energy of a curve on LIP-manifolds and on general metric spaces.
Asymptotically equal generalized distances: induced topologies and -energy of a curve.
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