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The Lie Brackets on Time Scales

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  • H. Kusak
  • A. Caliskan

Abstract

The Lie derivative, which has a wide range of application in physics and geometry, is trying to be examined on time scales. Firstly, nabla Lie bracket is defined on two-dimensional time scales. Secondly, the nabla Lie multiplication and some properties are given on the time scales. Lastly, for analyzing the differences between the real Lie multiplication and the nabla Lie multiplication, a numerical example is given.

Suggested Citation

  • H. Kusak & A. Caliskan, 2012. "The Lie Brackets on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, July.
    • Handle: RePEc:hin:jnlaaa:303706
    DOI: 10.1155/2012/303706
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