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math.DG2022
Holomorphic isometric embeddings of complex Grassmannians into quadrics: The general case
Oscar Macia, Yasuyuki Nagatomo
The present article studies holomorphic isometric embeddings of arbitrary complex Grassmannians into quadrics, generalising results in [13]. The moduli spaces of these embeddings u…
math.DG2014★ 1 cited
Holomorphic isometric embeddings of the projective line into quadrics
Oscar Macia, Yasuyuki Nagatomo, Masaro Takahashi
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…
math.DG2014★ 3 cited
Elementary deformations and the hyperKähler-quaternionic Kähler correspondence
Oscar Macia, Andrew Swann
The hyperKähler-quaternionic Kähler correspondence constructs quaternionic Kähler metrics from hyperKähler metrics with a rotating circle symmetry. We discuss how this may be inter…