Holonomy and projective equivalence in 4-dimensional Lorentz manifolds.
Hall, Graham S., Lonie, David P. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hall, Graham S., Lonie, David P. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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...
Robin Tucker, Charles Wang (1997)
Banach Center Publications
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Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita...
Włodzimierz Jelonek (1999)
Colloquium Mathematicae
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We give a description of compact Einstein-Weyl manifolds in terms of Killing tensors.
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...
Prakasha, D.G. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Graham Hall (2013)
Publications de l'Institut Mathématique
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Ewert-Krzemieniewski, Stanisław (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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