Curvature properties of certain compact pseudosymmetric manifolds
Ryszard Deszcz (1993)
Colloquium Mathematicae
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Ryszard Deszcz (1993)
Colloquium Mathematicae
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WŁodzimierz Jelonek (1998)
Colloquium Mathematicae
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The aim of this paper is to give a characterization of regular K-contact A-manifolds.
Włodzimierz Jelonek (2000)
Annales Polonici Mathematici
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The aim of this paper is to give an easy explicit description of 3-K-contact structures on certain SO(3)-principal fibre bundles over quaternionic-Kähler manifolds.
Alena Vanžurová (2013)
Archivum Mathematicum
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In [19] we proved a theorem which shows how to find, under particular assumptions guaranteeing metrizability (among others, recurrency of the curvature is necessary), all (at least local) pseudo-Riemannian metrics compatible with a given torsion-less linear connection without flat points on a two-dimensional affine manifold. The result has the form of an implication only; if there are flat points, or if curvature is not recurrent, we have no good answer in general, which can be also...
Yilmaz, Münevver Yildirim, Bektaş, Mehmet (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Ozturk, Hakan, Aktan, Nesip, Murathan, Cengizhan (2010)
APPS. Applied Sciences
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Filip Defever, Leopold Verstraelen, Ryszard Deszcz (1998)
Colloquium Mathematicae
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Alena Vanžurová (2008)
Archivum Mathematicum
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We contribute to the following: given a manifold endowed with a linear connection, decide whether the connection arises from some metric tensor. Compatibility condition for a metric is given by a system of ordinary differential equations. Our aim is to emphasize the role of holonomy algebra in comparison with certain more classical approaches, and propose a possible application in the Calculus of Variations (for a particular type of second order system of ODE’s, which define geodesics...