Curvature Of Spheres In Minkowski(n+1)-Space

Yıl 1987, Cilt: 36 , 0 - 0, 01.01.1987

E.m. Elkholy

https://doi.org/10.1501/Commua1_0000000536

Öz

In this paper we shovv that tbe hypersurfaces S (a) in Minkov'ski (n^l) - space M”+’ given
by:
^1^ . . . + a ...2n- >’ a
carry induced Riemannian metrics which is positive nefnûte in case a > 0 and negative definite in case a 0. Also the curvature of S (a) is constant and ecfual to —n (n-l) / a for a > 0 and n (n-1) / IX for a 0.

Anahtar Kelimeler

Curvature, Spheres In Minkowski, Space

Kaynakça

• Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi