Vaisman theorem for lcK spaces

Ovidiu Preda; Miron Stanciu

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arXiv · 2109.01000

Vaisman theorem for lcK spaces

Ovidiu Preda·Miron Stanciu

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Abstract

Vaisman's theorem for locally conformally K\"ahler (lcK) compact manifolds states that any lcK metric on a compact complex manifold which admits a K\"ahler metric is, in fact, globally conformally K\"ahler (gcK). In this paper, we extend this theorem to compact complex spaces with singularities.

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Ovidiu Preda, Miron Stanciu. 2021-09-02. Vaisman theorem for lcK spaces. https://arxiv.org/abs/2109.01000

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