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4-planar mappings of quaternionic Kähler manifolds. (English) Zbl 1308.53073

Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 187-193 (2013).
Summary: We study fundamental equations of 4-planar mappings of almost quaternionic manifolds with respect to the smoothness class of metrics. We show that 4-planar mappings preserve the smoothness class of metrics.
For the entire collection see [Zbl 1271.00030].

MSC:

53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
53B20 Local Riemannian geometry
53B21 Methods of local Riemannian geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B35 Local differential geometry of Hermitian and Kählerian structures
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