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arXiv · 1705.06545

Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics

Oscar Macia·Yasuyuki Nagatomo
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Abstract

The present article studies the class of Einstein-Hermitian harmonic maps of constant Kaehler angle from the projective line into quadrics. We provide a description of their moduli spaces up to image, and gauge-equivalence using the language of vector bundles and representation theory. It is shown that the dimension of the moduli spaces is independent of the Einstein-Hermitian constant, and rigidity of the associated real standard, and totally real maps is examined. Finally, certain classical results concerning embeddings of two-dimensional spheres into spheres are rephrased and derived in our formalism.

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Oscar Macia, Yasuyuki Nagatomo. 2017-05-18. Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics. https://arxiv.org/abs/1705.06545

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