Abstract
In this chapter, we study 4n-dimensional Riemannian manifolds with holonomy group contained in Sp(n) or Sp(n)Sp(1) (see Chapter 10). These two cases are in fact quite different, more different for example than SU(n) from U(n). More precisely, Sp(n) is included in SU(2n), so Riemannian manifolds with holonomy contained in Sp(n) are particular cases of Kähler manifolds with zero Ricci curvature.
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© 1987 Springer-Verlag Berlin Heidelberg
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Besse, A.L. (1987). Quaternion-Kähler Manifolds. In: Einstein Manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74311-8_15
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DOI: https://doi.org/10.1007/978-3-540-74311-8_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74120-6
Online ISBN: 978-3-540-74311-8
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