Indefinite affine hyperspheres admitting a pointwise symmetry. II.
Scharlach, Christine (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Indefinite affine hyperspheres admitting a pointwise symmetry. II.
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In this article we describe the notion of affinely independent subset of a real linear space. First we prove selected theorems concerning operations on linear combinations. Then we introduce affine independence and prove the equivalence of various definitions of this notion. We also introduce the notion of the affine hull, i.e. a subset generated by a set of vectors which is an intersection of all affine sets including the given set. Finally, we introduce and prove selected properties...
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Indefinite affine hyperspheres admitting a pointwise symmetry. I.
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