Conformal Symmetry Breaking Operators for Differential Forms on Spheres

• Main Authors: Kobayashi, Toshiyuki (Author), Kubo, Toshihisa (Author), Pevzner, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2170
• Subjects: Mathematics.; Topological groups.; Lie groups.; Fourier analysis.; Partial differential equations.; Differential geometry.; Mathematical physics.; Differential Geometry.; Topological Groups, Lie Groups.; Mathematical Physics.; Fourier Analysis.; Partial Differential Equations.

This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1). The authors give a complete classification of all such conf...