Abstract

Abstract For the rest of the book we shall discuss the exceptional holonomy groups G2 in 7 dimensions, and Spin(7) in 8 dimensions. This chapter introduces G2 and Spin(7), and explains some basic topological and geometrical properties of compact manifolds with these holonomy groups. Later, Chapters 11 and 12 will construct examples of compact 7-manifolds with holonomy G2, and Chapters 13, 14 and 15 examples of compact 8manifolds with holonomy Spin(7).

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