Locally conformally Kähler solvmanifolds: a survey
Copyright policy )Locally conformally Kähler solvmanifolds: a survey
AbstractA Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results regarding the canonical bundle of solvmanifolds equipped with a Vaisman structure, that is, a LCK structure whose associated Lee form is parallel.
- Université Catholique de Louvain Belgium
- National Scientific and Technical Research Council Argentina
- National University of Córdoba Argentina
Mathematics - Differential Geometry, Local differential geometry of Hermitian and Kählerian structures, Nilpotent and solvable Lie groups, 53a30, solvmanifold, SOLVMANIFOLD, SOLVABLE LIE GROUP, 53b35, solvable Lie group, locally conformally Kähler manifold, Differential Geometry (math.DG), LOCALLY CONFORMALLY, QA1-939, FOS: Mathematics, KÄHLER MANIFOLD, https://purl.org/becyt/ford/1.1, 22e25, https://purl.org/becyt/ford/1, 53B35, 53A30, 22E25, locally conformally kähler manifold, Mathematics, solvable lie group
Mathematics - Differential Geometry, Local differential geometry of Hermitian and Kählerian structures, Nilpotent and solvable Lie groups, 53a30, solvmanifold, SOLVMANIFOLD, SOLVABLE LIE GROUP, 53b35, solvable Lie group, locally conformally Kähler manifold, Differential Geometry (math.DG), LOCALLY CONFORMALLY, QA1-939, FOS: Mathematics, KÄHLER MANIFOLD, https://purl.org/becyt/ford/1.1, 22e25, https://purl.org/becyt/ford/1, 53B35, 53A30, 22E25, locally conformally kähler manifold, Mathematics, solvable lie group
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