Some Sharp L^2 Inequalities for Dirac Type Operators
We use the spectra of Dirac type operators on the sphere $S^n$ to produce sharp $L^2$ inequalities on the sphere. These operators include the Dirac operator on $S^n$, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalitie...
Main Authors: | Alexander Balinsky, John Ryan |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2007-11-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://www.emis.de/journals/SIGMA/2007/114/ |
Similar Items
-
Monogenic Functions in Conformal Geometry
by: Michael Eastwood, et al.
Published: (2007-08-01) -
The Dirac Sea, <em>T</em> and <em>C</em> Symmetry Breaking, and the Spinor Vacuum of the Universe
by: Vadim Monakhov
Published: (2021-05-01) -
Isospectral Dirac operators
by: Yuri Ashrafyan, et al.
Published: (2017-01-01) -
2D Discrete Hodge–Dirac Operator on the Torus
by: Volodymyr Sushch
Published: (2022-07-01) -
Solutions of Umbral Dirac-Type Equations
by: Hongfen Yuan, et al.
Published: (2024-01-01)