EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXLI, No. 35, pp. 9–23 (2010)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home


Pick a mirror


Some properties of the locally conformal K\"{a}hler manifold

Mileva Prvanovic

Mathematical Institute, SANU, Kneza Mihaila 35, 11001 Belgrade, Serbia

Abstract: 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
© 2010–2011 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition