Results: **7**

#### A review of the existing generalizations of the Deuring Reduction Theorem

... // Bulletin of the London Mathematical Society. Dec. 2014. Vol. 46, issue 6. P. 1256.
3. Bradford J. Commutative Endomorphism Rings of Simple Abelian Varieties over Finite Fields. Ph. D. Thesis, University of Maryland, 2012.
4 Clark P. L. Bounds for **torsion** on abelian varieties with integral moduli // arXiv:math/0407264, 2004.
5. Clark P. L., Xarles X. Local bounds for **torsion** points on abelian varieties // Canad. J. Math. 2008. Vol. 60. P. 532—555.
6. Demazure M. Lectures on p-divisible groups ...

#### A semicanonical normal affine connection associated with the distribution

... planes is considered. The way of giving normal generalized affine connection associated with the distribution is proposed. It is shown that this connection is given by connection tensor and normal linear connection object. They define its curvature and **torsion** tensors. Semicanonical case is investigated when subtensor of the connection tensor vanishes. Two notions are
involved: non-degeneration tensor of **torsion** and semiholonomical distribution. It is proved that vanishing of non-degeneration tensor ...

#### The **torsion** tensor of an analog of the Neifeld connection on a Grass-mannian-like manifold of centered planes

This article considers the Grassmanian-like manifold of cen-tered m-planes in the projective space Pn. A **torsion** object of the Neifeld con-nection is introduced in the fibering over the manifold . It is shown that this object forms a tensor containing one elementary and four simple subtensors.
1. Белова О. О. Связность в расслоении,...

#### Representation of projective connections on the SH -distribution of the projective space

Projective connections defined by projection and associated to subbundles , L, E of the strong dual threefold distribution (the SH -distribution) of the projective space are constructed. Coverages of torsion-curvature tensors components of the constructed projective connections , , of subbundles , L, E of the SH -distribution respectively are given. The way of creation of dual projective connections , , corresponding to connections , , is specified. 1. Попов...

#### Connection in a tangent bundle to the frame bundle of manifold

... focuses on the tangent bundle to the linear frame bundle of a smooth manifold. Brackets of the tangent vectors of this bundle are con-structed. A coordinate representation of the non-holonomic frame vectors is produced. Horizontal and vertical curvatures, **torsions**, and covariant derivatives are constructed in a homogeneous connection.
Бишоп Р., Криттенден Р. Геометрия многообразий. М., 1967.
2. Кобаяси Ш., Номидзу К. Основы дифференциальной ...

#### Normal generalized affine connection associated with the Grassman-like manifold of centred planes

In projective space a Grassman-like manifold of centred planes is considered. The normal affine connection, associated with the manifold, is set in generalized fibering. Field of the affine connection object defines **torsion** and curvature tensors contained one elementary and one simple subtensor every. A canonical case of normal generalized affine connection is considered.
1.
Белова
О. О.
Связность в расслоении, ассоциированном ...

#### Normal connections of the L-subbundle of a strongly mutual distribution of the projective space

The special class of the threefold distributions of the projective space Pn — VH -distribution — is considered. In each center X of VH -distribution the incidence relation of the elements of the -, M-, H-subbundle has an appearance X r Mm Hn1, where r m n 1. This class is characterized by the fact that the pairs (, ), (L, ), (M, E) of the main structural subbundles of this threefold distribution are mutual. Invariant dual normal connections induced in...