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On a structure satisfying \(F^ k -(-1)^{k+1} F=0\) - MaRDI portal

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On a structure satisfying \(F^ k -(-1)^{k+1} F=0\) (Q1907713)

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scientific article; zbMATH DE number 844412
Language Label Description Also known as
English
On a structure satisfying \(F^ k -(-1)^{k+1} F=0\)
scientific article; zbMATH DE number 844412

    Statements

    On a structure satisfying \(F^ k -(-1)^{k+1} F=0\) (English)
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    6 March 1996
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    Let \(M^n\) be a differentiable manifold and \(F\) a non-null tensor field of type (1,1) and of constant rank \(r\), defined on \(M^n\) and satisfying the relation: \(F^k- (- 1)^{k+ 1} F= 0\), where \(k\) is a fixed positive integer greater than 2. The author gives some results on the structure defined on \(M^n\) by the tensor field \(F\).
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    differentiable manifold
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    non-null tensor field
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