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Construction of pluriharmonic maps into complex Grassmann manifolds. (English) Zbl 1035.58012

The author introduces two kinds of elementary pluriharmonic maps: the Frénet multiple and generalized mixed pair. By using these maps he is able to obtain some new construction theorems for pluriharmonic maps into complex Grassmann manifolds \(G_k({\mathbb{C}}^n)\). Next, he presents a characterization of strongly isotropic plurihamonic maps.

MSC:

58E20 Harmonic maps, etc.
53C43 Differential geometric aspects of harmonic maps
31C10 Pluriharmonic and plurisubharmonic functions
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