Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 52, No. 4, pp. 499-509 (1995)

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Singular Klein Manifolds

N.H. Abdel-All

Maths. Dept., Faculty of Science,
Assiut University, Assiut - EGYPT

Abstract: The aim of the present paper is an effort to make more exact some aspects of seven-parameter group of collineations in a five-dimensional Klein projective Space. Using the $\delta$-variation of invariants in the first order contact elements, we derive several types of Klein manifolds on the Klein absolutum. Our study is carried out using Cartan's methods of moving frames [1], [2], [3].

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