Holomorphic isometric embeddings of the projective line into quadrics
  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. 
Oscar Macia, Yasuyuki Nagatomo, Masaro Takahashi
math.DG