Jorga Ibrahim
Bosscha Observatory, Faculty of Sciences, Institute of Technology Bandung

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Schouten Bracket of Holomorphic Tensors of a Kahlerian Manifold Jorga Ibrahim
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 3 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Abstract. It is shown that the Schouten bracket of holomorphic tensors of a compact kahlerian manifold W defines a structure of graded complex Lie algebra on the space of holomorphic tensors of the manifold. We obtain an important proposition which generalizes a wellknown result of Lichnerowicz [6,7].Ringkasan. Kita perlihatkan bahwa "Schouten bracket" dari pada tensor-tensot holomorph milik suatu manifold kahler yang kompak W mendefinisikan suatu struktur "graded complex Lie algebra" pada ruang tensor-tenso holomorph dari pada manifold tersebut. Disini diperoleh suatu proposisi yang penting yang memperluas sebuah hasil yang terkenal dari Lichnerowicz [6,7].