On the comass norm of a 3-covector (Q1373099)

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scientific article; zbMATH DE number 1083740
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On the comass norm of a 3-covector
scientific article; zbMATH DE number 1083740

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    On the comass norm of a 3-covector (English)
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    6 October 1998
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    The author gives another point of view on the comass of a covector in the simplest case (3-covector) and computes the comass of some classes of 3-covectors. He computes the comass of the fundamental 3-form \(\tau\) on \(so(4)\) and defines the contact set \(G(\tau)\). He constructs a calibrated algebra structure on \(\mathbb{R}^{4n- 1}\) and hence a calibration of degree 3 on it. This is a generalization of the well-known associated calibration on \(\mathbb{R}^7\).
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    comass norm
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    3-covector
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    contact set
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    calibrated algebra
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