UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS

DOI10.1142/S0129167X05002874zbMath1077.53038arXivmath/0406492MaRDI QIDQ4675856

Paul-Andi Nagy, Andrei Moroianu, Uwe Semmelmann

Publication date: 6 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0406492

zbMATH Keywords

Killing vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24)

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Cites Work

• Unnamed Item
• Six-dimensional Riemannian manifolds with a real Killing spinor
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• The structure of nearly Kähler manifolds
• Compact 3-Sasakian 7-manifolds with arbitrary second Betti number
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Nearly Kähler geometry and Riemannian foliations.
• A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES
• Nearly Kähler 6-manifolds with reduced holonomy

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