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    The delta nature connection on time scale
    (Academic Press Inc Elsevier Science, 2011) Kusak, H.; Caliskan, A.
    In this paper, a connection of a vector field W in the direction of a vector field V is accomplished on the time scale space. Thus we can calculate the delta nature connection for discrete differential geometry on the time scale. (C) 2010 Elsevier Inc. All rights reserved.
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    The Lie Brackets on Time Scales
    (Hindawi Publishing Corporation, 2012) Kusak, H.; Caliskan, A.
    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.