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The osculating hyperquadrics of the three-component distribution in affine space

Marina F. Grebenyuk — 2001

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Equipping distributions for linear distribution

Marina F. Grebenyuk; Josef Mikeš — 2007

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper there are discussed the three-component distributions of affine space $A_{n + 1}$ . Functions ${ℳ^{σ}}$ , which are introduced in the neighborhood of the second order, determine the normal of the first kind of $ℋ$ -distribution in every center of $ℋ$ -distribution. There are discussed too normals ${𝒵^{σ}}$ and quasi-tensor of the second order ${𝒮^{σ}}$ . In the same way bunches of the projective normals of the first kind of the $ℳ$ -distributions were determined in the differential neighborhood of the second and third order.

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