Morse-Novikov cohomology of locally conformally Kähler surfaces

DOI10.1007/s00209-017-1968-yzbMath1397.53086arXiv1609.07675OpenAlexW2962774833MaRDI QIDQ1650197

Alexandra Otiman

Publication date: 2 July 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07675

zbMATH Keywords

Inoue surfacesLee formsolvmanifoldmapping toruslocally conformally KählerMorse-Novikov cohomologylocally conformally symplectictamedKato surfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaf cohomology in algebraic topology (55N30)

Related Items (18)

Twisted Dolbeault cohomology of nilpotent Lie algebras ⋮ Locally conformally Kähler manifolds with holomorphic Lee field ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Positivity of LCK potential ⋮ Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Morse-Novikov cohomology for blow-ups of complex manifolds ⋮ Vaisman structures on LCK solvmanifolds ⋮ Do products of compact complex manifolds admit LCK metrics? ⋮ Lee classes on LCK manifolds with potential ⋮ Existence criteria for special locally conformally Kähler metrics ⋮ Locally conformally symplectic and Kähler geometry ⋮ Coverings of locally conformally Kähler complex spaces ⋮ Locally conformally Kähler structures on four-dimensional solvable Lie algebras ⋮ Hopf surfaces in locally conformally Kähler manifolds with potential ⋮ Morse-Novikov cohomology of almost nonnegatively curved manifolds ⋮ De Rham and twisted cohomology of Oeljeklaus-Toma manifolds ⋮ On harmonic symmetries for locally conformally Kähler manifolds ⋮ Deformations of Vaisman manifolds

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