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

TL;DR

This paper investigates holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics, analyzing their moduli space through a generalized do Carmo–Wallach theory.

Contribution

It introduces a generalized framework for studying these embeddings and characterizes their moduli space up to gauge and image equivalence.

Findings

Characterization of the moduli space of embeddings

Extension of do Carmo–Wallach theory to this setting

Classification results for embeddings

Abstract

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 image equivalence using a generalisation of do Carmo--Wallach theory.