1995•Journal of mathematics, Tokushima UniversityRequires access

Harmonic Maps of Nonovientable Surfaces into Complex Grassmann Manifolds

Tōru Ishihara

Abstract

We study harmonic maps of nonorientable surfaces into complex Grassmannians. J. C. Wood coded a factorable harmonic maps of a Riemann surfaces into a complex Grassmannian by a sequence of holomorphic maps of the surface into Grassmannians. We investigate codes of harmonic maps of nonorientable surfaces. Especially the degrees of codes are studies.

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Key concepts: Harmonic map, Grassmannian, Riemann surface, Holomorphic function, Harmonic, Mathematics, Surface (topology), Pure mathematics