A DECOMPOSITION OF THE CURVATURE TENSOR ON SU (3)/T (k, l) WITH A SU (3)-INVARIANT METRIC

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Published: May 15, 2015
DOI: https://doi.org/10.14403/jcms.2015.28.2.229
Keywords:
curvature tensor field, homogeneous space, Weyl tensor, Ricci tensor
Mathematics Subject Classification (2020):
Primary 53C30, 53C25

Main Article Content

Heui-Sang Son
Department of Applied Mathematics, Pukyong National University
Joon-Sik Park
Department of Mathematics, Pusan University of Foreign Studies
Yong-Soo Pyo
Department of Applied Mathematics, Pukyong National University

Abstract





In this paper, we decompose the curvature tensor (field) on the homogeneous Riemannian manifold SU (3)/T (k, l) with an arbitrarily given SU (3)-invariant Riemannian metric into three curvature-like tensor fields, and investigate geometric properties.





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Article Details

Issue
Vol. 28 No. 2 (2015)
Section
Articles