From locally conformally K\"ahler to bi-Hermitian structures on non-K\"ahler complex surfaces

Georges Dloussky; Michael Bailey; Vestislav Apostolov

arxiv: 1307.3660 · v2 · pith:GSXKKQNEnew · submitted 2013-07-13 · 🧮 math.DG

From locally conformally K\"ahler to bi-Hermitian structures on non-K\"ahler complex surfaces

Vestislav Apostolov , Michael Bailey , Georges Dloussky This is my paper

classification 🧮 math.DG

keywords ahlerbi-hermitiancomplexconformallylocallymetricssurfacesbetti

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We prove that locally conformally K\"ahler metrics on certain compact complex surfaces with odd first Betti number can be deformed to new examples of bi-Hermitian metrics.

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From locally conformally K\"ahler to bi-Hermitian structures on non-K\"ahler complex surfaces

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