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Hypercomplex structures on quaternionic manifolds

  • D. V. Alekseevsky
  • S. Marchiafava
Part of the Mathematics and Its Applications book series (MAIA, volume 350)

Abstract

Let (M,Q) be a quaternionic manifold. Conditions for existence of hypercomplex structures H subordinated to the quaternionic structure Q are determined, in particular for a quaternionic Kähler manifold (M,g,Q). Some special systems of almost hypercomplex structures which are admissible for Q are also considered and their relationships with quaternionic transformations are indicated.

Keywords

Scalar Curvature Curvature Tensor Quaternionic Structure Weyl Tensor Hermitian Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • D. V. Alekseevsky
    • 1
  • S. Marchiafava
    • 2
  1. 1.Sophus Lie Center (Moskow)MoskowRussia
  2. 2.Dipartimento di MatematicaUniversita’ di Roma IRomaItaly

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