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DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1, 1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS

Aydin Gezer|Arif Salimov
대한수학회 (The Korean Mathematical Society)|2008.03|대한수학회지 (Journal of the KMS)|제45권 제2호|pp. 367-376

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키워드

complex structureNijenhuis tensortensor bundlediagonal liftKahlerian structure.
주제분류수학

초록

The main purpose of this paper is to investigate diagonal lift of tensor fields of type (1, 1) from manifold to its tensor bundle of type (p, q) and to prove that when a manifold Mn admits a Kahlerian structure (p, g), its tensor bundle of type (p, q) admits an complex structure.

Abstract

The main purpose of this paper is to investigate diagonal lift of tensor fields of type (1, 1) from manifold to its tensor bundle of type (p, q) and to prove that when a manifold Mn admits a Kahlerian structure (p, g), its tensor bundle of type (p, q) admits an complex structure.

참고문헌 (7)

  1. N. Cengiz, "Complete lifts of derivations to tensor bundles", Boletin Sociedad Matemática Mexicana, 8(1), pp.75~82 (2002)
  2. A. Ledger, "Almost complex structures on tensor bundles", Journal of Differential Geometry, 1, pp.355~368 (1967)
  3. A. Magden, "Horizontal lift of affinor structures and its applications", Journal of Applied Mathematics and Computing, 156(2), pp.455~461 (2004)
  4. A. Magden, "Horizontal lifts of tensor fields to sections of the tangent bundle", Izvestiya Vysshikh Uchebnykh Zavedeniui Matematika, (3), pp.77~80 (2001)
  5. A. A. Salimov, "A new method in the theory of liftings of tensor fields in a tensor bundle", Izvestiya Vysshikh Uchebnykh Zavedeniui Matematika, (3), pp.69~75 (1994)
  6. K. Yano, "Tangent and Cotangent Bundles: Differential Geometry, Pure and Applied Mathematics, No. 16" (1973), Marcel Dekker, Inc.,
  7. K. Yano, "Structures on Manifolds, Series in Pure Mathematics", pp.3~ (1984), World Scientific Publishing Co.

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