Holomorphic isometric embeddings of the projective line into quadrics
TLDR
In this article, the authors discuss holomorphic isometric embeddings of the projective line into quadrics using the generalisation of the theorem of do Carmo-Wallach in [14] to provide a description of their moduli spaces up to image and gauge equivalence.Abstract:
We discuss holomorphic isometric embeddings of the projective line into quadrics using the generalisation of the theorem of do Carmo-Wallach in [14] 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.read more
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Moduli of Einstein–Hermitian harmonic mappings of the projective line into quadrics
Oscar Macia,Yasuyuki Nagatomo +1 more
TL;DR: In this article, the authors studied the class of Einstein-Hermitian harmonic maps of constant Kahler angle from the projective line into quadrics and provided a description of their moduli spaces up to image and gauge equivalence using the language of vector bundles and representation theory.
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Holomorphic maps into Grassmann manifolds (harmonic maps into Grassmann manifolds III)
TL;DR: In this paper, the authors generalized Calabi's rigidity theorem on holomorphic isometric immersions into the complex projective space to the case that the target is the complex Grassmann manifolds.
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Structure of minimal 2-spheres of constant curvature in the complex hyperquadric
Quo-Shin Chi,Zhenxiao Xie,Yan Xu +2 more
TL;DR: In this paper, the singular-value decomposition theory of complex matrices is explored to study constantly curved 2-spheres minimal in both C P n and the hyperquadric of C p n.
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Holomorphic isometric embeddings of the projective space into quadrics
Journal ArticleDOI
Curvature Invariants of Equivariant Isometric Minimal Immersions into Grassmannian Manifolds
TL;DR: In this article , the authors studied curvature invariants as Riemannian submanifolds for equivariant isometric minimal immersions from the complex projective line to complex quadrics and showed that they do not depend on the parameter of the moduli space.