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Harmonic Maps and Morphisms from Multilinear Norm-Preserving Mappings
International Journal of Mathematics, 1997We extend the notion of orthogonal multiplication to multilinear norm-preserving mapping, using them to construct new eigenmaps into spheres. We characterize those which are harmonic morphisms. By the method of reduction we construct interesting families of harmonic morphisms into S2 from the product manifolds H2 × S3 and S3 × S3 of hyperbolic spaces
Baird, Paul, Ou, Ye-Lin
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Program Obfuscation via Multilinear Maps
2014Recent proposals for plausible candidate constructions of multilinear maps and obfuscation have radically transformed what we imagined to be possible in cryptography. For over a decade cryptographers had been very skeptical about the existence of such objects.
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Multilinear Mappings and Dual Spaces
2004Abstract We will discuss the important space, V*, of linear functions on a vector space, V. We will describe isomorphisms between spaces of multilinear mappings, and, finally, we will focus on special properties of bilinear functions.
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Multilinear Mappings and Banach Algebras
Journal of the London Mathematical Society, 1976openaire +1 more source