Cayley 4-form Comass and Triality Isomorphisms

Abstract

The Cayley 4-form ωCa is of fundamental importance both in the calibration theory of R. Harvey and H. B. Lawson [HL82], who calculated its comass ‖ωCa‖ using the non-associative algebra of the Cayley numbers, and in exceptional holonomy of type Spin(7) studied by R. Bryant [Br87] and D. Joyce [Jo00]. The Cayley form is self-dual and the triality property of… (More)

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