activity
20132026
most citedHarmonic maps into Grassmannian manifolds

6 citations · 9 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2026

Transforms of holomorphic maps from flag manifolds into Grassmannians

Oscar Macia, Yasuyuki Nagatomo

Building on the generalized do Carmo-Wallach theory, we construct a functorial framework for holomorphic maps from flag manifolds into Grassmannians and quadrics. Through the direc…

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.DG2021

Holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics

Oscar Macia, Yasuyuki Nagatomo

The present article studies holomorphic isometric embeddings of the complex two--plane Grassmannnian into quadrics. We discuss the moduli space of these embeddings up to gauge and…

math.DG2017

Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics

Oscar Macia, Yasuyuki Nagatomo

The present article studies the class of Einstein-Hermitian harmonic maps of constant Kaehler angle from the projective line into quadrics. We provide a description of their moduli…

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★ 6 cited

Harmonic maps into Grassmannian manifolds

Yasuyuki Nagatomo

A harmonic map from a Riemannian manifold into a Grassmannian manifold is characterized by a vector bundle, a space of sections of this bundle and a Laplace operator. We apply our…

math.DG2013★ 2 cited

A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form

Isami Koga, Yasuyuki Nagatomo

We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian…