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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.

On the Example of Almost Pseudo-Z-symmetric Manifolds

Kanak Kanti Baishya, Patrik Peška (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper we have obtained a new example of non-Ricci-flat almost pseudo-Z-symmetric manifolds in the class of equidistant spaces, which admit non-trivial geodesic mappings.

On Weakly W 3 -Symmetric Manifolds

Shyamal Kumar Hui (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The object of the present paper is to study weakly W 3 -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly W 3 -symmetric manifold both the decompositions are weakly Ricci symmetric.

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