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math.DG2005
Cohomogeneity one actions on noncompact symmetric spaces of rank one
Jurgen Berndt, Hiroshi Tamaru
We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces…
math.DG2002★ 7 cited
Projective planes, Severi varieties and spheres
Michael Atiyah, Jurgen Berndt
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…