On the Killing tensor fields on a compact Riemannian manifold.
Tsagas, Grigorios (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Non-Riemannian gravitational interactions”
On the Killing tensor fields on a compact Riemannian manifold.
A pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold.
Eni, Cristian (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Cocalibrated -manifolds with Ricci flat characteristic connection
Thomas Friedrich (2013)
Communications in Mathematics
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Any 7-dimensional cocalibrated -manifold admits a unique connection with skew symmetric torsion (see [8]). We study these manifolds under the additional condition that the -Ricci tensor vanish. In particular we describe their geometry in case of a maximal number of -parallel vector fields.
A note on distributional semi-Riemannian geometry.
Steinbauer, Roland (2008)
Novi Sad Journal of Mathematics
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On metrizability of locally homogeneous affine 2-dimensional 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...
-semisymmetric spaces and concircular vector fields
Mikeš, Josef, Rachůnek, Lukáš
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Metrization problem for linear connections and holonomy algebras
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...