Global theorems on manifolds which admit distributions

T. J. Willmore

Displaying similar documents to “Global theorems on manifolds which admit distributions”

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

Marina F. Grebenyuk (2001)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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A unified approach to some theorems on homogeneous Riemannian and affine spaces

Rosa Anna Marinosci (1987)

Czechoslovak Mathematical Journal

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Amalgamations of homogeneous Riemannian spaces

Jozef Tvarožek (1984)

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Oldřich Kowalski (1974)

Commentationes Mathematicae Universitatis Carolinae

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Equipping distributions for linear distribution

Marina F. Grebenyuk, Josef Mikeš (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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...