Calabi-Yau cones from contact reduction |
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Authors: | Diego Conti Anna Fino |
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Institution: | 1.Dipartimento di Matematica e Applicazioni,Università di Milano Bicocca,Milan,Italy;2.Dipartimento di Matematica,Università di Torino,Turin,Italy |
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Abstract: | We consider a generalization of Einstein–Sasaki manifolds, which we characterize in terms both of spinors and differential
forms, that in the real analytic case corresponds to contact manifolds whose symplectic cone is Calabi-Yau. We construct solvable
examples in seven dimensions. Then, we consider circle actions that preserve the structure and determine conditions for the
contact reduction to carry an induced structure of the same type. We apply this construction to obtain a new hypo-contact
structure on S
2 × T
3. |
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Keywords: | |
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