Abstract

A quadratic formf:Sm →Sn between spheres is separable if, up to isometries on the source and the range, the components off are pure or mixed quadratic polynomials. The space parametrizing the separated quadratic eigenmapsf is shown here to fiber over a semi-algebraic set with each fiber a finite-dimensional compact convex body. Form = 3, this gives a new description of the parameter space of all quadratic eigenmapsf:S3 →Sm as a fibration over an ‘inflated tetrahedron’ and generic hexagonal fibres.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call