Positive quaternion Kähler manifolds with fourth Betti number equal to one

DOI10.1016/j.topol.2010.10.012zbMath1209.53034OpenAlexW2084604344MaRDI QIDQ617728

Manuel Amann

Publication date: 13 January 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.10.012

zbMATH Keywords

Betti numbersquaternionic projective spacepositive quaternion Kähler manifolds

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (1)

Tachibana-type theorems and special holonomy

Cites Work

• Signature of quaternionic Kaehler manifolds
• Quaternionic Kaehler manifolds
• Strong rigidity of positive quaternion-Kähler manifolds
• An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds
• Betti numbers of 3-Sasakian manifolds
• Einstein manifolds
• Positive quaternionic Kähler manifolds and symmetry rank. II
• FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY
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