We introduce the concept of quasi-semi-Weyl structure, we provide a couple ways for constructing quasi-statistical and structures by means pseudo-Riemannian metric, an affine connection tensor field on smooth manifold, place these in relation with one another.

In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.

We show how the twisting of spectral triples induces a transition from Euclidean to Lorentzian noncommutative geometry at level fermionic action. More specifically, we compute action for closed manifold, then that two-sheet and finally triple electrodynamics in signature. obtain Weyl Dirac equations signature (and temporal gauge). The twisted is shown be invariant under an Lorentz group. This p...

We examine the boundary behaviour of the gauged N = (2, 0) supergravity in D = 3 coupled to an arbitrary number of scalar supermultiplets which parametrize a Kähler manifold. In addition to the gravitational coupling constant, the model depends on two parameters, namely the cosmological constant and the size of the Kähler manifold. It is shown that regular and irregular boundary conditions can ...

We give an explicit formula for sp2n-basic representatives of the cyclic cohomology of the Weyl algebra HC(A2n). This paper can be seen as cyclic addendum to the paper [6] by Feigin, Felder and Shoikhet, where the analogous Hochschild case was treated. As an application, we prove a generalization of a Theorem of Nest and Tsygan concerning the relation of the Todd class and the cyclic cohomology...

The classical boundary-value problem for positive-definite solutions of the Einstein field equations is studied with an arbitrary cosmological constant, in the case of a compact (S) boundary given a biaxial Bianchi-IX positive-definite three-metric, specified by two radii (a, b). For the simplest, four-ball, topology of the manifold with this boundary, the regular classical solutions are found ...