About a special class of two-dimensional complex Finsler spaces

Nicoleta Aldea ()
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Nicoleta Aldea: Transilvania University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 2, 107-127

Abstract: Abstract In this paper we investigate a class of two-dimensional complex Finsler spaces, called η-Einstein, in [3]. The holomorphic sectional curvatures of such spaces, in directions of the local complex Berwald frames {l, m, $\bar l,\bar m$ } and {λ, µ, $\bar \lambda ,\bar \mu $ } are studied. We classify some subclasses of η-Einstein spaces, with respect to the horizontal holomorphic sectional curvature in direction λ. Finally, a special approach is devoted to the holomorphic bisectional curvatures of the two — dimensional η-Einstein spaces.

Keywords: Generalized Einstein space; η-Einstein space; complex Berwald frame; holomorphic sectional and bisectional curvatures (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0007-2

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