Spaces with non-symmetric affine connection.
Minčić, Svetislav M., Velimirović, Ljubica S. (2008)
Novi Sad Journal of Mathematics
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Minčić, Svetislav M., Velimirović, Ljubica S. (2008)
Novi Sad Journal of Mathematics
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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...
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