Holomorphic isometric embeddings of the projective line into quadrics
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🧮 math.DG
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lineprojectivequadricsembeddingsholomorphicisometriccarmo--wallachdescription
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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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