Schouten Bracket of Holomorphic Tensors of a Kahlerian Manifold

Main Author: Ibrahim, Jorga; Bosscha Observatory, Faculty of Sciences, Institute of Technology Bandung
Other Authors: Prof. A. Lichnerowicz of College de France, Institute of Technology Bandung
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: ITB Journal Publisher, LPPM ITB , 2019
Subjects:
Online Access: http://journals.itb.ac.id/index.php/jmfs/article/view/9657
http://journals.itb.ac.id/index.php/jmfs/article/view/9657/3668
Daftar Isi:
  • 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].