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Representation of projectors involving Minkowski inverse in Minkowski space

Author

Listed:
  • Mohd Saleem Lone

    (Annamalai University)

  • D. Krishnaswamy

    (Annamalai University)

Abstract

A certain class of results about the different representations of Oblique projectors is present in the literature. These results represent Oblique projectors as the functions of orthogonal projectors with given onto and along spaces. But these results are valid under the restriction that the functions of orthogonal projectors involved are invertible. In this paper we extend and generalize these results. The extension lies in making a transition from Euclidean space to Minkowski space M and the generalization is obtain by voiding the invertibility condition and use of the Minkowski inverse. Furthermore, the nobility lies in utilizing the m-projectors instead of the regular orthogonal projectors.

Suggested Citation

  • Mohd Saleem Lone & D. Krishnaswamy, 2017. "Representation of projectors involving Minkowski inverse in Minkowski space," Indian Journal of Pure and Applied Mathematics, Springer, vol. 48(3), pages 369-389, September.
    • Handle: RePEc:spr:indpam:v:48:y:2017:i:3:d:10.1007_s13226-017-0238-3
    DOI: 10.1007/s13226-017-0238-3
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