Abstract
A connection on a vector bundle is the key factor to define the derivative of the section in that bundle. The structure of graded Courant algebroid can be described more vividly by the properties of the connection on it. In this paper, a new connection is defined on the graded Courant algebroid. Further, Lie derivative is defined on the graded Courant algebroid for obtaining the derivative of the graded vector fields. The graded version of the generalised tangent bundle \(\Lambda \left( TM\right) \oplus \Lambda \left( T^{*}M\right) \) is employed as a graded Courant algebroid. The compatible condition of the defined connection is verified over the graded generalised tangent bundle.
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Patra, R. (2023). A New Connection on Generalised Tangent Bundle. In: Sahni, M., Merigó, J.M., Hussain, W., León-Castro, E., Verma, R.K., Sahni, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1440. Springer, Singapore. https://doi.org/10.1007/978-981-19-9906-2_7
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DOI: https://doi.org/10.1007/978-981-19-9906-2_7
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