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On geometrical properties of the spaces defined by the Pfaff equations

Valery Driuma

Institute of Mathematics and Computer Science, Chişinău, Moldova

Abstract: Geometrical properties of holonomic and non holonomic varieties defined by the Pfaff equations connected with the first order system of equations are studied. The Riemann extensions of affine connected spaces for investigations of geodesics and asymptotic lines are used.

Keywords and phrases: Non holonomic variety, Pfaff equation, Riemann extensions, geodesics.

MSC: 53Bxx

Received: 05.04.2005

Language: English

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