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1993•Tohoku Mathematical JournalOpen access

Harmonic maps of nonorientable surfaces to four-dimensional manifolds

Tōru Ishihara

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Abstract

We construct explicit harmonic maps of the projective plane or a quotient space of a hyperelliptic Riemann surface into the unit 4-sphere.

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We construct explicit harmonic maps of the projective plane or a quotient space of a hyperelliptic Riemann surface into the unit 4-sphere.

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OpenAlex reports 61 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We construct explicit harmonic maps of the projective plane or a quotient space of a hyperelliptic Riemann surface into the unit 4-sphere.

Key concepts: Mathematics, Harmonic map, Harmonic, Pure mathematics, Manifold (fluid mechanics), Geometry, Topology (electrical circuits), Combinatorics

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