Quaternionic Kaehler Manifolds

Lee Whitt

doi:10.2307/1998721

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Quaternionic Kaehler Manifolds

Lee Whitt

Year: 1982 Journal: Transactions of the American Mathematical Society Vol: 272 (2)Pages: 677-677 Publisher: American Mathematical Society

DOI: 10.2307/1998721

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Abstract

The topological classification of $4$- and $8$- (real) dimensional compact quaternionic Kaehler manifolds is given. There is only the torus in dimension 4. In dimension 8, there are 12 homeomorphism classes; representatives are given explicitly.

Keywords:

Mathematics Homeomorphism (graph theory) Torus Pure mathematics Dimension (graph theory) Complex dimension Topology (electrical circuits) Mathematical analysis Discrete mathematics Combinatorics Geometry

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Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Algebraic and Geometric Analysis

Physical Sciences → Mathematics → Applied Mathematics

Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

Quaternionic Kaehler Manifolds

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