On the embeddings of the Riemann sphere with nonnegative normal bundles

TL;DR

This paper explores the complex quaternionic geometry associated with embeddings of the Riemann sphere that have nonnegative normal bundles, providing insights into their geometric structure.

Contribution

It introduces a detailed description of the quaternionic geometry linked to such embeddings, expanding understanding of their geometric properties.

Findings

Characterization of embeddings with nonnegative normal bundles

Connection between quaternionic geometry and Riemann sphere embeddings

New insights into the structure of complex quaternionic manifolds

Abstract

We describe the (complex) quaternionic geometry encoded by the embeddings of the Riemann sphere, with nonnegative normal bundles.