EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 78(92), pp. 135–142 (2005)

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HOLOMORPHY ANGLES AND SECTIONAL CURVATURE IN HERMITIAN ELLIPTIC PLANES OVER FIELDS AND TENSOR PRODUCTS OF FIELDS

Boris Rosenfeld

Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA

Abstract: Holomorphy angles and sectional curvature in Hermitian elliptic planes over field $C$ of complex numbers, skew field $H$ of quaternions, and alternative skew field $O$ of octonions are considered, and analogues of holomorphy angles in planes over tensor products of these fields and sectional curvature in these planes are found.

Classification (MSC2000): 32M15; 32Q10; 32J27; 53B35; 53C26

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