Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

TL;DR

This paper classifies all specific holomorphic two-spheres in the complex Grassmannian G(2,6) that are constantly curved with a constant second fundamental form, showing they are homogeneous.

Contribution

It provides a complete classification of certain holomorphic two-spheres in G(2,6) with constant second fundamental form, revealing their homogeneous nature.

Findings

All such spheres are homogeneous.

Complete classification of these holomorphic two-spheres.

They are all noncongruent and totally unramified.

Abstract

We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental form. They turn out to be homogeneous.