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- W4299166369 abstract "In this article, we study Hermitian manifolds whose Bismut-Strominger connection has parallel torsion tensor, which will be called {em Bismut torsion parallel manifolds,} or {em BTP} manifolds for short. We obtain a necessary and sufficient condition characterizing this class in terms of the curvature tensor. In particular, Bismut flat or Bismut Kahler-like manifolds are {em BTP} manifolds, known by our earlier results. We also obtain structural results for non-balanced {em BTP} manifolds, and classification theorems for non-balanced {em BTP} threefolds and balanced {em BTP} threefolds." @default.
- W4299166369 created "2022-10-02" @default.
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- W4299166369 date "2022-08-05" @default.
- W4299166369 modified "2023-10-16" @default.
- W4299166369 title "On Hermitian manifolds with Bismut-Strominger parallel torsion" @default.
- W4299166369 doi "https://doi.org/10.48550/arxiv.2208.03071" @default.
- W4299166369 hasPublicationYear "2022" @default.
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