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2012/80/3-4 (9) — DOI: 10.5486/PMD.2012.5052 — pp. 369-384

Kähler and para-Kähler curvature Weyl manifolds

Authors: Peter Gilkey and Stana Nikčević

Abstract:

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Keywords: Kaehler-Weyl curvature manifolds, Weyl geometry, Hermitian-Weyl geometry, para-Hermitian-Weyl geometry, Singer-Thorpe theorem, van Hecke-Tricerri theorem, Higa splitting, geometric realizability, curvature decomposition

Mathematics Subject Classification: 53B05, 15A72, 53A15, 53B10, 53C07, 53C25, 53B35