Indefinite affine hyperspheres admitting a pointwise symmetry. I.
Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
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Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
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Scharlach, Christine (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Barbara Opozda, Leopold Verstraelen (1999)
Annales Polonici Mathematici
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In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space . In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.
Kopylov, Ya.A. (2009)
Sibirskij Matematicheskij Zhurnal
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Karol Pąk (2010)
Formalized Mathematics
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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...
Kuz'minov, V.I., Shvedov, I.A. (2000)
Siberian Mathematical Journal
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Kopylov, Ya.A., Kuz'minov, V.I. (2009)
Sibirskij Matematicheskij Zhurnal
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Felaco, Elisabetta, Giuli, Eraldo (2008)
Theory and Applications of Categories [electronic only]
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Azam, Saeid (2002)
Journal of Lie Theory
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Lam, Thomas, Shimozono, Mark (2005)
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Min Ku, Uwe Kähler, Paula Cerejeiras (2012)
Archivum Mathematicum
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In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present...