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arXiv · 0812.3777

Quasi-complete homogeneous contact manifold associated to a cubic form

Jun-Muk Hwang·Laurent Manivel
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Abstract

Starting from a cubic form, we give a general construction of a quasi-complete homogeneous manifold endowed with a natural contact structure. We show that it can be compactified into a projective contact manifold if and only if the cubic form is the determinant of a simple cubic Jordan algebra.

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Jun-Muk Hwang, Laurent Manivel. 2008-12-19. Quasi-complete homogeneous contact manifold associated to a cubic form. https://arxiv.org/abs/0812.3777

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