Extending invariant complex structures

DOI10.1142/S0129167X15500962zbMath1352.17007arXiv1406.4091OpenAlexW2174158009WikidataQ58324912 ScholiaQ58324912MaRDI QIDQ3462615

Isolda E. Cardoso, Otto Rutwig Campoamor Stursberg, Gabriela Paola Ovando

Publication date: 15 January 2016

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

Full work available at URL: https://arxiv.org/abs/1406.4091

zbMATH Keywords

complex structureextension problem(extended) semi-direct productsHermitian and anti-Hermitian structuresLie algebras with complex structures

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

COMPLEX PRODUCT STRUCTURES ON HOM-LIE ALGEBRAS ⋮ From almost (para)-complex structures to affine structures on Lie groups ⋮ The ascending central series of nilpotent Lie algebras with complex structure

Cites Work

• A canonical structure on the tangent bundle of a pseudo- or para-Kähler manifold
• Tamed symplectic forms and strong Kähler with torsion metrics
• Weak mirror symmetry of complex symplectic Lie algebras
• Four-dimensional Lie algebras with a para-hypercomplex structure
• Abelian Hermitian geometry
• Special Hermitian metrics and Lie groups
• Invariant complex structures on four-dimensional solvable real Lie groups
• Lie bialgebras of complex type and associated Poisson Lie groups
• Curvatures of left invariant metrics on Lie groups
• Invariant complex structures on solvable real Lie groups
• A survey on paracomplex geometry
• Weak mirror symmetry of Lie algebras
• Extending structures for Lie algebras
• SKT and tamed symplectic structures on solvmanifolds
• New HKT manifolds arising from quaternionic representations
• Product structures on four dimensional solvable Lie algebras
• Classification of abelian complex structures on 6-dimensional Lie algebras
• Geometry of nilmanifolds with left-invariant complex structure and deformations in the large
• NON EXISTENCE OF COMPLEX STRUCTURES ON FILIFORM LIE ALGEBRAS
• COMPLEX AND PARACOMPLEX STRUCTURES ON HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS
• Complex product structures on Lie algebras

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