Holomorphic isometric embeddings of the projective line into quadrics

Oscar Macia; Yasuyuki Nagatomo; Masaro Takahashi

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arXiv · 1408.3178

Holomorphic isometric embeddings of the projective line into quadrics

Oscar Macia·Yasuyuki Nagatomo·Masaro Takahashi

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Abstract

We discuss holomorphic isometric embeddings of the projective line into quadrics using a generalisation of the theorem of do Carmo--Wallach to provide a description of their moduli spaces up to image and gauge--equivalence. Moreover, we show rigidity of the real standard map from the projective line into quadrics.

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Oscar Macia, Yasuyuki Nagatomo, Masaro Takahashi. 2014-08-14. Holomorphic isometric embeddings of the projective line into quadrics. https://arxiv.org/abs/1408.3178

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