Giovanni Calvaruso (2010)
Archivum Mathematicum
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We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
Kadri Arslan, Ryszard Deszcz, Şahnur Yaprak (1997)
Colloquium Mathematicae
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Ryszard Deszcz, Marian Hotloś, Zerrin Şentürk (1999)
Colloquium Mathematicae
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Hirică, Iulia Elena (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Ryszard Deszcz (1993)
Colloquium Mathematicae
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Alena Vanžurová (2009)
Archivum Mathematicum
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We discuss Riemannian metrics compatible with a linear connection that has regular curvature. Combining (mostly algebraic) methods and results of [4] and [5] we give an algorithm which allows to decide effectively existence of positive definite metrics compatible with a real analytic connection with regular curvature tensor on an analytic connected and simply connected manifold, and to construct the family of compatible metrics (determined up to a scalar multiple) in the affirmative...
Novica Blažić (2005)
Kragujevac Journal of Mathematics
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