Displaying similar documents to “On the Cartan-Norden theorem for affine Kähler immersions”

Hypersurfaces with parallel affine curvature tensor R*

Barbara Opozda, Leopold Verstraelen (1999)

Annales Polonici Mathematici

Similarity:

In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space n + 1 . In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.

Affine Independence in Vector Spaces

Karol Pąk (2010)

Formalized Mathematics

Similarity:

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...