Nearly Kähler manifolds with vanishing Tricerri–Vanhecke Bochner curvature tensor

Y Euh,J.H Park,K Sekigawa

doi:10.1016/j.difgeo.2008.10.007

Nearly Kähler manifolds with vanishing Tricerri–Vanhecke Bochner curvature tensor

Y Euh, J.H Park + Show 1 more

https://doi.org/10.1016/j.difgeo.2008.10.007

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Journal: Differential Geometry and its Applications	Publication Date: Nov 21, 2008
Citations: 17	License type: elsevier-specific: oa user license

Affiliation: Sungkyunkwan University, Niigata University

#Vanishing Bochner Curvature Tensor #Bochner Curvature Tensor + Show 3 more

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Abstract

We study the local structures of nearly Kähler manifolds with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke (TV). We show that there does not exist a TV Bochner flat strict nearly Kähler manifold in 2 n ( ⩾ 10 ) dimension and determine the local structures of the manifolds in 6 and 8 dimensions.

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