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1994
Abstract In the previous chapter we laid the foundation for the following formal definition: An affine geometry 𝒜(F) of n dimensions over a field Fis a G-space (Ω, G) equivalent to (Fn, AGL(n, F)).
Peter M Neumann +2 more
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Abstract In the previous chapter we laid the foundation for the following formal definition: An affine geometry 𝒜(F) of n dimensions over a field Fis a G-space (Ω, G) equivalent to (Fn, AGL(n, F)).
Peter M Neumann +2 more
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Affine Transformations in Affine Differential Geometry
Results in Mathematics, 1989For a \(C^{\infty}\) hypersurface immersion f: \(M^ n\to R^{n+1}\), with M orientable, let \(\nabla\) be the affine connection induced by the affine normal and let h be the corresponding (first affine) fundamental form. The author studies the Lie subgroup of those affine transformations of M, with respect to \(\nabla\), that preserve h, namely \(G ...
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Oberwolfach Reports, 2007
Affine geometry deals with algebro-geometric questions of affine varieties. In the last decades this area has developed into a systematic discipline with a sizeable international group of researchers, and with methods coming from commutative and non-commutative algebra, algebraic, complex analytic and differential geometry, singularity theory and ...
Hubert Flenner +2 more
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Affine geometry deals with algebro-geometric questions of affine varieties. In the last decades this area has developed into a systematic discipline with a sizeable international group of researchers, and with methods coming from commutative and non-commutative algebra, algebraic, complex analytic and differential geometry, singularity theory and ...
Hubert Flenner +2 more
openaire +1 more source