Journal of applied mathematics & informatics

  • 제42권4호
  • /
  • Pages.879-897
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  • 2024
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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THEORY OF HYPERSURFACES OF A FINSLER SPACE WITH THE GENERALIZED SQUARE METRIC

  • SONIA RANI (Department of Mathematics, School of Applied Sciences, Om Sterling Global University) ;
  • VINOD KUMAR (Department of Mathematics, School of Applied Sciences, Om Sterling Global University) ;
  • MOHAMMAD RAFEE (Department of Mathematics, School of Science, RIMT University)
  • 투고 : 2023.11.05
  • 심사 : 2024.02.27
  • 발행 : 2024.07.30
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초록

The emergence of generalized square metrics in Finsler geometry can be attributed to various classification concerning (𝛼, 𝛽)-metrics. They have excellent geometric properties in Finsler geometry. Within the scope of this research paper, we have conducted an investigation into the generalized square metric denoted as $F(x,y)=\frac{[{\alpha}(x,y)+{\beta}(x,y)]^{n+1}}{[{\alpha}(x,y)]^n}$, focusing specifically on its application to the Finslerian hypersurface. Furthermore, the classification and existence of first, second, and third kind of hyperplanes of the Finsler manifold has been established.

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참고문헌

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