Fillable FIELDSOF PARALLEL VECTORS A RLEMANNIAN IN GEOMETRY* - ams

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FIELDSOF PARALLEL VECTORS A RLEMANNIAN IN GEOMETRY* BY LUTHER PFAHLER EISENHART 1. Introduction. Consider a space Vn of n dimensions whose fundamental quadratic form is (1.1) y gijd aV (i, j -- 1, , n), where the 's are subject only to the condition that their determinant (1.2) is not zero.t (1.3) g gn We do not impose the condition that 9 is definite. We ds2 ecjjj dx1 dxj, define the metric by where e is plus or...
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