Notes on spinors in low dimension
Abstract
The purpose of these old notes (written in 1998 during a research project on
holonomy of pseudo-Riemannian manifolds of type (10,1)) is to determine the
orbit structure of the groups Spin(p,q) acting on their spinor spaces for the
values (p,q) = (8,0), (9,0), (9,1), (10,0), (10,1), and (10,2). I'm making them
available on the arXiv because I continue to get requests for them as well as
questions about how they can be cited.
Type
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https://hdl.handle.net/10161/21876Collections
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Robert Bryant
Phillip Griffiths Professor of Mathematics
My research concerns problems in the geometric theory of partial differential equations.
More specifically, I work on conservation laws for PDE, Finsler geometry, projective
geometry, and Riemannian geometry, including calibrations and the theory of holonomy.
Much of my work involves or develops techniques for studying systems of partial differential
equations that arise in geometric problems. Because of their built-in invariance
properties, these systems often have specia
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