Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2002 / Cilt: 51 - Sayı: 2

The new expressions of Gaussian curvature at spacelike congruences

The new expressions of Gaussian curvature at spacelike congruences

H. H. UĞURLU, O. KILIÇ, A. ÇALIŞKAN

Sayfa
19–23
DOI
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Abstract

We obtained two fundamental formula in [1] for the geometry of spacelike congruences by means of dual hyperbolic and central angles. Beside we stated and proved the Manheim's, Liouville's and Hamilton's formulae. In this study we give the new expressions of the Gaussian curvature for the spacelike congruences by means of fundamental formulae.