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Bogoslovsky, G.Y. (2007) Some Physical Displays of the Space Anisotropy Relevant to the Feasibility of Its Being Detected at a Laboratory. arXiv:0706.2621 [gr-qc]

has been cited by the following article:

• TITLE: Complex Spacetime Frame: Four-Vector Identities and Tensors

  AUTHORS: Joseph Akeyo Omolo

  KEYWORDS: Complex Spacetime Frame, Four-Vector Identities, Contravariant and Covariant Forms, Complex Tensors

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.11, November 14, 2014

  ABSTRACT: This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities take exactly the same forms of the standard vector identities established in the familiar three-dimensional space, thereby confirming the consistency of the definition of the complex four-vectors and their mathematical operations in the general complex spacetime frame. Contravariant and covariant forms have been defined, providing appropriate definitions of complex tensors, which point to the possibility of reformulating differential geometry within a spacetime frame.