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Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow

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arxiv 2307.10207 v2 pith:OH43VCXO submitted 2023-07-14 math.DG math.CV

Giuseppe Barbaro This is my paper · ORCID
classification math.DGmath.CV
keywords bismutmetricspluriclosedcompacteinsteinflatflowhermitian
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We compute the (1,1)-Aeppli cohomology of compact simply-connected Lie groups. From this, we deduce that the Bismut flat metrics on the compact Bismut flat manifolds with finite fundamental group are globally stable for the pluriclosed flow. This prevents the existence of non-flat homogeneous Bismut Hermitian Einstein (hence also pluriclosed Calabi--Yau with torsion) metrics on C-spaces.

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  1. The canonical symmetry reduction of string backgrounds

    math.DG 2025-11 conditional novelty 6.0 of 10

    A compact string background with nonvanishing canonical symmetry reduces to a transverse string generalized Ricci soliton that is conformally co-closed, with explicit torsion in SU(3), G2, and Spin(7).

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