An integral formula in differential geometry via mixed exterior algebra (Q1313295)
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scientific article; zbMATH DE number 490670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral formula in differential geometry via mixed exterior algebra |
scientific article; zbMATH DE number 490670 |
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An integral formula in differential geometry via mixed exterior algebra (English)
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26 January 1994
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The authors study Codazzi tensors of type \((p,p)\), generalizing the Weingarten map (of type (1,1)) in the context of mixed exterior algebras. Such tensors form an algebra under the dot product of a mixed exterior algebra. Integral formulas of Minkowski type for submanifolds are derived, generalizing formulas of [\textit{C. C. Hsiung}, \textit{J. D. Liu} and \textit{S. S. Mittra}, J. Differ. Geom 12, 133-151 (1977; Zbl 0406.53042) and \textit{W. Strübing}, Manuscr. Math. 49, 177-194 (1984; Zbl 0556.53033)].
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Minkowski integral formula
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Codazzi tensors
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Weingarten map
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mixed exterior algebras
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0.9276112
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0.9133426
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0.90510255
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0.9029477
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0.8955314
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0.89487916
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