Dominic Joyce
Abstract
Abstract In this chapter we study Riemannian 4m-manifolds (M, g) with holonomy Sp(m). Since Sp(m) is a subgroup of SU(2m), we see that g is Kähler and Ricci-flat, and such manifolds are closely related to the Calabi–Yau manifolds of Chapter 6.
OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Abstract In this chapter we study Riemannian 4m-manifolds (M, g) with holonomy Sp(m). Since Sp(m) is a subgroup of SU(2m), we see that g is Kähler and Ricci-flat, and such manifolds are closely related to the Calabi–Yau manifolds of Chapter 6.
Key concepts: Holonomy, Hyperkähler manifold, Ricci-flat manifold, Pure mathematics, Manifold (fluid mechanics), Mathematics, Geometry, Scalar curvature