We compute the dimensions of some moduli spaces of left-invariant closed and coclosed G(2)-structures on 7-dimensional nilmanifolds, showing that they are not related to the third Betti number. We also prove that, in contrast to the case of closed G(2)-structures, the group of automorphisms of a coclosed G(2)-structure is not necessarily abelian.
MODULI SPACES OF (CO)CLOSED G2-STRUCTURES ON NILMANIFOLDS
Bazzoni G.
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2024-01-01
Abstract
We compute the dimensions of some moduli spaces of left-invariant closed and coclosed G(2)-structures on 7-dimensional nilmanifolds, showing that they are not related to the third Betti number. We also prove that, in contrast to the case of closed G(2)-structures, the group of automorphisms of a coclosed G(2)-structure is not necessarily abelian.
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