A CONNECTION WITH PARALLEL TOTALLY SKEW-SYMMETRIC TORSION ON A CLASS OF ALMOST HYPERCOMPLEX MANIFOLDS WITH HERMITIAN AND ANTI-HERMITIAN METRICS

DOI10.1142/S0219887811005026zbMath1214.53056arXiv1003.2051OpenAlexW2086391061MaRDI QIDQ5390316

Mancho Manev, Kostadin Gribachev

Publication date: 1 April 2011

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

Full work available at URL: https://arxiv.org/abs/1003.2051

zbMATH Keywords

pseudo-Riemannian metricNorden metricskew-symmetric torsionalmost hypercomplex manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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