New class of locally conformal Kähler manifolds

DOI10.1007/s00009-023-02288-3OpenAlexW4318426945MaRDI QIDQ2684863

Beldjilali Gherici, Oubbiche Nour, Delloum Adel, Bouzir Habib

Publication date: 17 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02288-3

zbMATH Keywords

solvable Lie algebralocally conformally Kähler structureK-torse forming vector field

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Local differential geometry of Hermitian and Kählerian structures (53B35)

Cites Work

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• Compact lcK manifolds with parallel vector fields
• Geometry of holomorphically subprojective Kählerian manifolds
• Locally conformal Kähler manifolds with potential
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• On locally conformal almost Kaehler manifolds
• On Kaehlerian torse-forming vector fields
• Locally conformal Kähler geometry
• Structure theorem for compact Vaisman manifolds
• Locally conformally Kähler structures on four-dimensional solvable Lie algebras
• Compact homogeneous lcK manifolds are Vaisman
• Some theorems on almost Kählerian spaces
• Geometric flow on compact locally conformally Kähler manifolds
• Sur le problème d'équivalence de certaines structures infinitésimales
• ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS
• Invariants of real low dimension Lie algebras
• Closed Manifolds with Homogeneous Complex Structure
• On the torse-forming directions in Riemannian spaces