Products of constant curvature spaces with a Brownian independence property

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Vision Theory in Spaces of Constant Curvature

In this paper, vision theory for Euclidean, spherical and hyperbolic spaces is studied in a uniform framework using diierential geometry in spaces of constant curvature. It is shown that the epipolar geometry for Euclidean space can be naturally generalized to the spaces of constant curvature. In particular, it is shown that, in the general case, the bilinear epipolar constraint is exactly the ...

Constant curvature conditions for Kropina spaces

The characterization of Finsler spaces of constant curvature is an old and cumbersome one. In the present paper we obtain the conditions for a Kropina space to be of constant curvature improving in this way the characterization given by Matsumoto ([6]) as well as our past results ([13]). M.S.C. 2010: 58B20, 53B21.

Constant curvature foliations in asymptotically hyperbolic spaces

Let (M, g) be an asymptotically hyperbolic manifold with a smooth conformal compactification. We establish a general correspondence between semilinear elliptic equations of scalar curvature type on ∂M and Weingarten foliations in some neighbourhood of infinity inM . We focus mostly on foliations where each leaf has constant mean curvature, though our results apply equally well to foliations whe...

Dynamical Symmetry Breaking in Spaces with Constant Negative Curvature

By using the Nambu-Jona–Lasinio model, we study dynamical symmetry breaking in spaces with constant negative curvature. We show that the physical reason for zero value of critical coupling value gc = 0 in these spaces is connected with the effective reduction of dimension of spacetime 1+D → 1+1 in the infrared region, which takes place for any dimension 1 + D. Since the Laplace–Beltrami operato...