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Abstract
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We study the curvature of
almost Hermitian manifolds and their special analogues via intrinsic torsion and
representation theory. By deriving different formulae for the skew-symmetric
part of the *-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 be used to explain some of these
variations.
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Keywords
almost Hermitian, special almost
Hermitian, intrinsic torsion, curvature tensor, G-connection
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Mathematical Subject Classification
Primary: 53C55
Secondary: 53C10, 53C15
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Milestones
Received: 10 January 2005
Accepted: 25 July 2005
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