QUATERNIONIC CONNECTIONS, INDUCED HOLOMORPHIC STRUCTURES AND A VANISHING THEOREM

DOI10.1142/S0129167X08005059zbMath1157.53341arXivmath/0606715OpenAlexW1987679210MaRDI QIDQ5506280

Liana David

Publication date: 28 January 2009

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

Full work available at URL: https://arxiv.org/abs/math/0606715

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

A prolongation of the conformal-Killing operator on quaternionic-Kähler manifolds

Cites Work

• Quaternionic structures on a manifold and subordinated structures
• La 1-forme de torsion d'une variété hermitienne compacte
• Complex structures on quaternionic manifolds
• Killing forms on \(G_2\)- and spin\(_7\)-manifolds
• Vanishing Theorems for Quaternionic Complexes
• Differential geometry of quaternionic manifolds
• Yang-Mills fields on quaternionic spaces

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