Einstein Spaces in a Space of Constant Curvature

Einstein Spaces in a Space of Constant Curvature.

The last constant included in the table, 7r2, was computed by me to about 262 decimal places in order to test and extend the number given by Serebrennikov'1 to 220 places. The first 218 significant figures of the two results were identical; his value exceeded mine by 595 X 10-220. Because of this agreement the machine multiplication was repeated only from the twenty-seventh "sum of pro,ducts of...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

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 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...