Curvature of special almost Hermitian manifolds

Francisco Martín Cabrera; Andrew Swann

doi:10.2140/pjm.2006.228.165

Curvature of special almost Hermitian manifolds

Francisco Martín Cabrera, Andrew Swann

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Journal	Pacific Journal of Mathematics
Volume	228
Issue	1
Pages (from-to)	165-184
Number of pages	20
ISSN	0030-8730
DOIs	https://doi.org/10.2140/pjm.2006.228.165
Publication status	Published - 1 Jan 2006
Externally published	Yes

Keywords

Almost Hermitian
Curvature tensor
G-connection
Intrinsic torsion
Special almost Hermitian

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AB - 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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KW - Special almost Hermitian

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Curvature of special almost Hermitian manifolds

Abstract

Keywords

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