You are currently offline. Some features of the site may not work correctly.

Corpus ID: 14138711

Pseudospheres in geometry and physics: from Beltrami to De Sitter and beyond ∗

@article{Bertotti2005PseudospheresIG,
title={Pseudospheres in geometry and physics: from Beltrami to De Sitter and beyond ∗},
author={B. Bertotti and R. Catenacci and C. Dappiaggi},
journal={arXiv: History and Overview},
year={2005}
}

We review the extraordinary fertility and proliferation in mathematics and physics of the concept of a surface with constant and negative Gaussian curvature. In his outstanding 1868 paper Beltrami discussed how non-Euclidean geometry is actually realized and displayed in a disk on the plane. This metric is intrinsically defined and definite; but only if indefinite metrics are introduced it is possible to fully understand the structure of pseudospheres. In a threedimensional flat space R 3 the… CONTINUE READING