Beiträge zur Algebra und Geometrie <BR> Contributions to Algebra and GeometryVol. 40, No. 2, pp. 385-398 (1999)

Paracomplex Projective Models and Harmonic Maps into Them

Sadettin Erdem

Department of Mathematics, The Middle East Technical University, 06531 Ankara, Turkey, e-mail:,

Abstract: Paracomplex projective models are para-Kaehler space forms (and models of constant paraholomorphic sectional curvature of dimension greater than 2) introduced in [G]. We consider these models with their usual para-Kaehler structure and also introduce another almost para-Kaehler structure on their underlying manifolds. Next the harmonicity of maps into the two given types of manifolds is discussed and some harmonic maps are constructed from certain paraholomorphic ones.

\item{[G]} Gadea, P. M.; Amilibia, A. M.: Spaces of constant paraholomorphic sectional curvature. Pacific J. Math. 136 (1989), 85-101.

Classification (MSC91): 53C15, 53C50, 53C55, 58E20

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