Indian Journal of Science and Technology

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In this paper, the concept of tangent space for finite product of Cnμ - selective Banach manifolds is introduced. Using this notion, the concept of differentiation of the mappings f : M0 → N0 is extended to the differentiation of the mappings g : M1 × M2 → N1 × N2, where Mi and Ni are μi - selective and γi - selective Banach manifolds for i ∈ {0, 1, 2}, respectively. Moreover, the notions of vector field and tensor field over μ - selective Banach manifolds are established.

Keywords

Observer, Selective Banach Manifold, Tangent Space, Tensor Field.
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