Connections Satisfying a Generalized Ricci Lemma
1964 ◽
Vol 16
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pp. 549-560
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Keyword(s):
Very Old
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In this paper we shall consider a generalization of a very old problem in differential geometry; namely, given a second-order covariant tensor field aij(x) on an n-dimensional manifold, when does there exist a connection such that the covariant derivative, defined byvanishes?The earliest question of this type arose in the case when is symmetric and positive definite. A solution connection of the problem is then given by the Christoffel symbols
2020 ◽
Vol 1
(1)
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pp. 77-86
1983 ◽
Vol 6
(4)
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pp. 727-736
Keyword(s):
1934 ◽
Vol 145
(855)
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pp. 645-656
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1986 ◽
Vol 102
(3-4)
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pp. 253-257
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1976 ◽
Vol 74
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pp. 239-252
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1988 ◽
Vol 30
(1)
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pp. 75-85
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1996 ◽
Vol 48
(4)
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pp. 871-886
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Keyword(s):
1972 ◽
Vol 24
(5)
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pp. 799-804
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Keyword(s):