Differential Geometry of generalized almost quaternionic structures, 2

TL;DR

This paper introduces notions of self-dual and anti self-dual almost quaternionic structures and provides a complete classification of self-dual and anti self-dual generalized Kähler manifolds.

Contribution

It introduces new concepts in quaternionic geometry and classifies a broad class of generalized Kähler manifolds based on duality properties.

Findings

Complete classification of self-dual generalized Kähler manifolds

Introduction of self-dual and anti self-dual almost quaternionic structures

Advancement in understanding quaternionic geometric structures

Abstract

Notions of self-dual and anti self-dual almost quaternionic structures are introduced. The complete classification of self-dual and anti self-dual generalized Kaehler manifolds is obtained.