Conditions for an affine manifold with torsion to have a Riemann–Cartan structure
1981 ◽
Vol 90
(3)
◽
pp. 517-527
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Keyword(s):
AbstractNecessary and sufficient conditions for the local existence of a metric compatible with the affine connection are obtained in terms of the Riemann tensor and its first-order covariant derivatives in a generic affine manifold with torsion. In case these conditions are satisfied, the solutions of the metric are given in terms of integrals and are unique up to a constant scale factor. Some global conditions are also obtained and discussed.
1980 ◽
Vol 87
(3)
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pp. 527-534
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2008 ◽
Vol 55
(6)
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pp. 1279-1292
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2006 ◽
Vol 321
(2)
◽
pp. 553-568
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Necessary and sufficient conditions for oscillation of first-order functional differential equations
1990 ◽
Vol 148
(2)
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pp. 360-370
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1979 ◽
Vol 17
(2)
◽
pp. 245-250
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1994 ◽
Vol 49
(1)
◽
pp. 69-79
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2014 ◽
Vol 25
(1)
◽
pp. 1-12
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