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Selective Banach Vector Fields
  • P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2015, Volume: 8, Issue: 8, Pages: 741–747

Original Article

Selective Banach Vector Fields


In this paper, the concept of tangent space for finite product of Cn m - 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 mi - selective and gi - selective Banach manifolds for i ∈ {0, 1, 2}, respectively. Moreover, the notions of vector field and tensor field over m - selective Banach manifolds are established.

Keywords: Observer, Selective Banach Manifold, Tangent Space, Tensor Field


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