Curvature of special almost Hermitian manifolds
Copyright policy )Curvature of special almost Hermitian manifolds
We study the curvature of almost Hermitian manifolds and their special analogues via intrinsic torsion and representation theory. By deriving different forumlae for the skew-symmetric part of the star-Ricci curvature, we find that some of these contributions are dependent on the approach used, and for the almost Hermitian case we obtain tables that differ from those of Falcitelli, Farinola and Salamon. We show how the exterior algebra may used to explain some of these variations.
20 pages
- University of La Laguna Spain
- University of Southern Denmark Denmark
Mathematics - Differential Geometry, special almost Hermitian, 53C55; 53C10, 53C15, Global differential geometry of Hermitian and Kählerian manifolds, almost Hermitian, 53C55, Differential Geometry (math.DG), intrinsic torsion, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, 53C10, 53C15, \(G\)-structures, curvature tensor
Mathematics - Differential Geometry, special almost Hermitian, 53C55; 53C10, 53C15, Global differential geometry of Hermitian and Kählerian manifolds, almost Hermitian, 53C55, Differential Geometry (math.DG), intrinsic torsion, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, 53C10, 53C15, \(G\)-structures, curvature tensor
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