Kähler manifolds with quasi-constant holomorphic curvature

DOI10.1007/S10455-009-9154-ZzbMath1173.53033arXiv0806.4708OpenAlexW2949164528WikidataQ126090511 ScholiaQ126090511MaRDI QIDQ5896975

Włodzimierz Jelonek

Publication date: 9 September 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4708

zbMATH Keywords

Kähler manifoldholomorphic sectional curvaturespecial Kähler-Ricci potentialquasi-constant holomorphic sectional curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (6)

Kähler manifolds with homothetic foliation by curves ⋮ Kähler manifolds with some Killing tensors ⋮ Schrödinger soliton from Lorentzian manifolds ⋮ Special biconformal changes of Kähler surface metrics ⋮ KÄHLER SURFACES WITH QUASI CONSTANT HOLOMORPHIC CURVATURE ⋮ Kähler manifolds of quasi-constant holomorphic sectional curvature and generalized Sasakian space forms

Cites Work

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• Principal fibre bundles with the 1-dimensional toroidal group
• Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. (Plane element fields in 4-dimensional manifolds)
• Warped product Kähler manifolds and Bochner-Kähler metrics
• Kähler manifolds of quasi-constant holomorphic sectional curvatures
• The fundamental equations of a submersion
• Local Classification of Conformally-Einstein Kähler Metrics in Higher Dimensions
• Special Kähler-Ricci potentials on compact Kähler manifolds

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