The Lie Brackets on Time Scales | Zendy

H. Kusak | Zendy; S. Ayhan Çalışkan | Zendy

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The Lie Brackets on Time Scales

Author(s) -

H. Kusak,

S. Ayhan Çalışkan

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/303706

Subject(s) - multiplication (music) , mathematics , nabla symbol , bracket , lie algebra , pure mathematics , adjoint representation , lie group , algebra over a field , combinatorics , physics , mechanical engineering , quantum mechanics , engineering , omega

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

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