Moduli spaces of polynomial minimal immersions between complex projective spaces (Q757919)

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scientific article; zbMATH DE number 4194749
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Moduli spaces of polynomial minimal immersions between complex projective spaces
scientific article; zbMATH DE number 4194749

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    Moduli spaces of polynomial minimal immersions between complex projective spaces (English)
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    1990
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    In the present paper which was motivated by the papers of \textit{M. P. Do Carmo} and \textit{N. R. Wallach} [Ann. Math., II. Ser. 93, 43-62 (1971; Zbl 0218.53069)] and \textit{N. R. Wallach} [Pure Appl. Math. 8, 1-40 (1972; Zbl 0232.53027)] the author shows that the space of the equivalence classes of full polynomial minimal immersions F: \({\mathbb{C}}P^ m\to {\mathbb{C}}P^ n\) of bidegree (p,q) can be parametrized by a compact convex body lying in a finite-dimensional vector space. He also gives a lower bound of its dimension in terms of m, p and q.
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    harmonic map
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    minimal immersions
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