Projective holonomy II: cones and complete classifications |
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| Authors: | Stuart Armstrong |
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| Institution: | (1) Department of Mathematics, Oxford University, Oxford, OX1 3LB, UK |
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| Abstract: | The aim of this paper and its prequel is to introduce and classify the irreducible holonomy algebras of the projective Tractor
connection. This is achieved through the construction of a ‘projective cone’, a Ricci-flat manifold one dimension higher whose
affine holonomy is equal to the Tractor holonomy of the underlying manifold. This paper uses the result to enable the construction
of manifolds with each possible holonomy algebra. |
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| Keywords: | Holonomy Projective structures Tractor connections Cones Cartan connections |
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