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On some type of curvature conditions

Mohamed Belkhelfa, Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Dorota Kowalczyk, Leopold Verstraelen (2002)

Banach Center Publications

In this paper we present a review of recent results on semi-Riemannian manifolds satisfying curvature conditions of pseudosymmetry type.

On some types of slant curves in contact pseudo-Hermitian 3-manifolds

Cihan Özgür, Şaban Güvenç (2012)

Annales Polonici Mathematici

We study slant curves in contact Riemannian 3-manifolds with pseudo-Hermitian proper mean curvature vector field and pseudo-Hermitian harmonic mean curvature vector field for the Tanaka-Webster connection in the tangent and normal bundles, respectively. We also study slant curves of pseudo-Hermitian AW(k)-type.

On special almost geodesic mappings of type π 1 of spaces with affine connection

Vladimir Berezovskij, Josef Mikeš (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

N. S. Sinyukov [5] introduced the concept of an almost geodesic mapping of a space A n with an affine connection without torsion onto A ¯ n and found three types: π 1 , π 2 and  π 3 . The authors of [1] proved completness of that classification for n > 5 .By definition, special types of mappings π 1 are characterized by equations P i j , k h + P i j α P α k h = a i j δ k h , where P i j h Γ ¯ i j h - Γ i j h is the deformation tensor of affine connections of the spaces A n and A ¯ n .In this paper geometric objects which preserve these mappings are found and also closed classes of such spaces...

On special Berwald metrics.

Tayebi, Akbar, Peyghan, Esmaeil (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On "special" fibred coordinates for general and classical connections

Włodzimierz M. Mikulski (2010)

Annales Polonici Mathematici

Using a general connection Γ on a fibred manifold p:Y → M and a torsion free classical linear connection ∇ on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection ˜ ( Γ , ) on Fp:FY → FM for any vector bundle functor F: ℳ f → of finite order.

On tensor fields semiconjugated with torse-forming vector fields

Lukáš Rachůnek, Josef Mikeš (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The paper deals with tensor fields which are semiconjugated with torse-forming vector fields. The existence results for semitorse-forming vector fields and for convergent vector fields are proved.

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