On the existence of infinite series of exotic holonomies

DOI10.1007/s002220050104zbMath0866.53013arXivdg-ga/9508014OpenAlexW3102179083WikidataQ56386875 ScholiaQ56386875MaRDI QIDQ5961442

Lorenz J. Schwachhöfer, Quo-Shin Chi, Sergey A. Merkulov

Publication date: 15 July 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9508014

zbMATH Keywords

equivariant deformationsholonomytorsion-free affine connectionsPoisson structuresexotic holonomytwistor techniques

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Related Items (12)

Holonomy Groups and Algebras ⋮ Torsion-free \(G_{3}\)-connections that are not analytic ⋮ Poisson geometry ⋮ Ricci-flat holonomy: a classification ⋮ Quadratic deformations of Lie-Poisson structures ⋮ Special symplectic connections and Poisson geometry ⋮ Connections with irreducible holonomy representations ⋮ SYMPLECTIC CONNECTIONS ⋮ Differential geometry of \(\textsf{SO}^\ast(2n)\)-type structures ⋮ SYMPLECTIC CONNECTIONS AND EXOTIC HOLONOMY ⋮ DEGENERATE TORSION-FREE G₃-CONNECTIONS ⋮ The uniqueness in the de Rham-Wu decomposition

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