Twistor spaces and harmonic maps

Abstract

CONTENTS Foreword Chapter I. Introduction §1. Instanton-type solutions in the σ-model theory §2. Harmonic maps. Basic notions §3. Chern's theorem and Gaussian maps §4. Twistors and bundles of almost complex structures Chapter II. Twistor spaces of Riemannian manifolds §1. The bundle of almost Hermitian structures §2. Reduction of a twistor space §3. Twistor manifolds of symmetric spaces §4. Loop spaces Chapter III. Harmonic maps §1. Twistor constructions of harmonic maps §2. Harmonic maps into complex projective spaces §3. Harmonic maps into complex Grassmann manifolds §4. Harmonic maps into groups and symmetric spaces §5. Harmonic maps and loop spaces References