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

  • Gezer, Aydin (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES ATATURK UNIVERSITY) ;
  • Salimov, Arif (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES ATATURK UNIVERSITY)
  • Published : 2008.03.31

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 $M_n$ admits a $K\ddot{a}hlerian$ structure ($\varphi$,g), its tensor bundle of type (p,q) admits an complex structure.

Keywords

References

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Cited by

  1. On operators associated with tensor fields vol.99, pp.1-2, 2010, https://doi.org/10.1007/s00022-010-0059-6
  2. On the (1, 1)-tensor bundle with Cheeger–Gromoll type metric vol.125, pp.4, 2015, https://doi.org/10.1007/s12044-015-0221-z