\(tt^{*}\)-geometry on the tangent bundle of an almost complex manifold

DOI10.1016/j.geomphys.2006.08.004zbMath1121.32013OpenAlexW2037619149MaRDI QIDQ864856

Lars Schäfer

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.08.004

zbMATH Keywords

connectionpluriharmonic mapsnearly Kähler manifoldspseudo-Riemannian symmetric spaces\(tt^{*}\)-geometry and \(tt^{*}\)-bundlesspecial complex and special Kähler manifoldssymplectic vector bundle

Mathematics Subject Classification ID

Almost complex manifolds (32Q60)

Related Items (8)

Unnamed Item ⋮ Isoparametric surfaces and the \(\mathrm{tt}^\ast\)-equations ⋮ Para-\(tt^*\)-bundles on the tangent bundle of an almost para-complex manifold ⋮ Conical Ricci-flat nearly para-Kähler manifolds ⋮ Flat nearly Kähler manifolds ⋮ A note on \(tt^{*}\)-bundles over compact nearly Kähler manifolds ⋮ On the structure of nearly pseudo-Kähler manifolds ⋮ Integrability of generalized pluriharmonic maps

Cites Work

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• Parallel spinors and connections with skew-symmetric torsion in string theory.
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• Flat nearly Kähler manifolds
• Harmonic bundles, topological-antitopological fusion and the related pluriharmonic maps
• \(tt^*\)-geometry and pluriharmonic maps
• Corrigenda to: Introduction to Symplectic Topology

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