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arxiv: 1605.04001 · v2 · pith:SA6SG7KFnew · submitted 2016-05-12 · 🧮 math.DG · math.CV

Hermitian ranks of compact complex manifolds

classification 🧮 math.DG math.CV
keywords ahlermanifoldscompactcomplexdegeneratemetricsclassesconformally
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We investigate degenerate special-Hermitian metrics on compact complex manifolds, in particular, degenerate K\"ahler and locally conformally K\"ahler metrics on special classes of non-K\"ahler manifolds.

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