SOME CONSTRUCTIONS OF ALMOST PARA-HYPERHERMITIAN STRUCTURES ON MANIFOLDS AND TANGENT BUNDLES

DOI10.1142/S0219887808003016zbMath1156.53044arXiv0707.3360WikidataQ126174737 ScholiaQ126174737MaRDI QIDQ5506298

Gabriel Eduard Vîlcu, Steriu Ianus

Publication date: 28 January 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3360

zbMATH Keywords

tangent bundlesemi-Riemannian submersionmixed 3-structurepara-hyperhermitian structure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Other complex differential geometry (53C56) Almost complex manifolds (32Q60)

Related Items (7)

CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS ⋮ General natural \(\alpha\)-structures parallel with respect to the Schouten-van Kampen connection on the tangent bundle ⋮ Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions ⋮ Submanifolds in manifolds with metric mixed 3-structures ⋮ Semi-Riemannian hypersurfaces in manifolds with metric mixed \(3\)-structures ⋮ Nonlinear symmetries on spaces admitting Killing tensors ⋮ Paraquaternionic CR-Submanifolds

Cites Work

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• Quaternionic and para-quaternionic CR structure on \((4n+3)\)-dimensional manifolds
• Contact manifolds in Riemannian geometry
• Actions for \((2,1)\) sigma models and strings
• Neutral hyperkähler structures on primary Kodaira surfaces
• Real lightlike hypersurfaces of paraquaternionic Kähler manifolds
• Para-Hermitian and paraquaternionic manifolds
• Sur le problème d'équivalence de certaines structures infinitésimales
• Hyper-complex four-manifolds from the Tzitzéica equation

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