2002/06/13 by Michael Atiyah, Jurgen Berndt
Mathematics · #math.DG #math.AG #msc:53C30
published as Surveys in Differential Geometry VIII, Papers in Honor of Calabi, Lawson, Siu and Uhlenbeck (International Press, Somerville, MA, 2003) 1-27. · 28 pages, 1 figure, Latex
arxiv created 2002/06/13 · arxiv updated 2009/11/30
A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the projective planes over the normed real division algebras and by considering the complexifications of these four projective planes.