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A general technique is introduced for deriving Bochner type formulae on a compact riemannian manifold, relating its curvature tensor with the intrinsic torsion of a compatible (orthogonal)… (More)

Abstract An integral formula is derived, relating the six irreducible components of the intrinsic torsion of an Sp n Sp 1 structure on a compact 4 n -dimensional manifold with the Riemann curvature… (More)

Suppose that a vector is produced jointly. We will consider the problem of dividing the cost of production among a group of components. In this paper we characterized a solution through two axioms,… (More)

The \dancing metric" is a pseudo-riemannian metric g of signa- ture (2,2) on the space M 4 of non-incident point-line pairs in the real projec- tive plane RP 2 . The null-curves of (M 4 ;g) are given… (More)

This note contains a simple formula (Proposition 1 in Section 3) for the curvature of the canonical line bundle on a hermitian manifold, using the Levi-Civita connection (instead of the more usual… (More)

AbstractFor a space X carrying a foliation
$${\mathcal{F}}$$
, the authors study the cohomology of the complex of differential forms which are smooth along the leaves and transversally locally L∞.… (More)