Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXLI, No. 35, pp. 9–23 (2010)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXLI, No. 35, pp. 9–23 (2010) |
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Some properties of the locally conformal K\"{a}hler manifoldMileva PrvanovicMathematical Institute, SANU, Kneza Mihaila 35, 11001 Belgrade, SerbiaAbstract: We determine the holomorphic curvature tensor of locally conformal K\"{a}hler manifold and find the expression of the Riemannian curvature tensor of such manifold if it is of pointwise constant holomorphic sectional curvature. We examine the geodesic mapping using the holomorphic curvature tensor and apply the obtained results to the locally conformal K\"{a}hler manifolds. Keywords: locally conformal K\"{a}hler manifold, holomorphic curvature tensor, geodesic mapping Classification (MSC2000): 53C56 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 3 Oct 2010. This page was last modified: 20 Jun 2011.
© 2010 Mathematical Institute of the Serbian Academy of Science and Arts
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