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- W33074492 abstract "We show that the symmetry group of a stable immersion of the real projective plane P in E^3 is either trivial or is cyclic of order 3, and that of a stable map of P in E^3 is conjugate to a subgroup of the full tetrahedral group. Thus Boy's surface, in its `standard' form, is the most symmetrical stable immersion of P in $E^3, and Steiner's surface is given by the most symmetrical stable map of P in E^3. We also construct a smooth embedding of P in E^4 with symmetry group SO(2) by orthogonal projection of the Veronese surface." @default.
- W33074492 created "2016-06-24" @default.
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- W33074492 date "1999-01-01" @default.
- W33074492 modified "2023-09-27" @default.
- W33074492 title "Symmetric models of the real projective plane" @default.
- W33074492 hasPublicationYear "1999" @default.
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