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 that a closed orientable Riemannian n-manifold, n ≥ 5, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of S × S.

We consider global geometric properties of a codimension one manifold embedded in Euclidean space, as it evolves under an isotropic and volume preserving Brownian flow of diffeomorphisms. In particular, we obtain expressions describing the expected rate of growth of the Lipschitz-Killing curvatures, or intrinsic volumes, of the manifold under the flow. These results shed new light on some of th...

0. Introduction 0.1. Reduction of inverse boundary value problem on a surface in R to the corresponding problem on affine algebraic Riemann surface in C. Let X be bordered oriented two-dimensional manifold in R. Manifold X is equiped by complex (conformal) structure induced by Euclidean metric of R. We say that X possesses an isotropic conductivity function σ > 0, if any electric potential u on...

This paper concerns conditions related to the first finite singularity time of a Ricci flow solution on a closed manifold. In particular, we provide a systematic approach to the mean value inequality method, suggested by N. Le [13] and F. He [11]. We also display a close connection between this method and time slice analysis as in [23]. As an application, we prove several inequalities for a Ric...

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...

Causal structure, inertial path structure and compatibility with quantum mechanics demand no full Lorentz metric, but only an integrable Weyl geometry for space time (Ehlers/Pirani/Schild 1972, Audretsch e.a. 1984). A proposal of (Tann 1998, Drechsler/Tann 1999) for a minimal coupling of the Hilbert-Einstein action to a scale covariant scalar vacuum field φ (weight −1) plus (among others) a Kle...

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 ...