Indian Journal of Science and Technology

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Selective Banach Vector Fields


Affiliations
1 Department of Mathematics, University of Zabol, 98615 538, Zabol, Iran, Islamic Republic of
2 Department of Mathematics, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran, Islamic Republic of
 

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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  • Selective Banach Vector Fields

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Authors

Mohammad Mehrpooya
Department of Mathematics, University of Zabol, 98615 538, Zabol, Iran, Islamic Republic of
Mohammadreza Molaei
Department of Mathematics, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran, Islamic Republic of

Abstract


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.



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i8%2F67441