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Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 2

HYPERSURFACES OF A FINSLER SPACE WITH DEFORMED BERWALD-INFINITE SERIES METRIC

BRIJESH KUMAR TRIPATHI
Sayfa
296–304
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Further examined under which condition, the Finslerian hypersurfaces of this special metric becomes a hyperplane of first, second and third kinds.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The rationale of this paper is to study the Finslerian hypersurfaces of a Finsler space with the special deformed Berwald-Infinite series metric.
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Temel Bulgular & Veri:The rationale of this paper is to study the Finslerian hypersurfaces of a Finsler space with the special deformed Berwald-Infinite series metric.
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Sonuç & Katkı:Further examined under which condition, the Finslerian hypersurfaces of this special metric becomes a hyperplane of first, second and third kinds.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

The rationale of this paper is to study the Finslerian hypersurfaces of a Finsler space with the special deformed Berwald-Infinite series metric. Further examined under which condition, the Finslerian hypersurfaces of this special metric becomes a hyperplane of first, second and third kinds.

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Bu Makaleye Atıf Yap

TRIPATHI, B. K. (2020). HYPERSURFACES OF A FINSLER SPACE WITH DEFORMED BERWALD-INFINITE SERIES METRIC. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 2, 296–304. https://ajindex.com/articles/327604

Kaynakça (10)

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  2. Chaubey, V. K. and Mishra, A., (2017), Hypersurface of a Finsler Space with Special (α, β)-metric, Journal of Contemporary Mathematical Analysis, 52, pp. 1-7
  3. Chaubey, V. K. and Tripathi, B. K., (2014), Finslerian Hypersurface of a Finsler Spaces with Special (γ, β)-metric, Journal of Dynamical System and Geometric Theories, 12(1), pp. 19-27
  4. Kitayama, M., (2002), On Finslerian hypersurfaces given by β− change, Balkan Journal of Geometry and Its Applications, 7-2, pp. 49-55
  5. Lee, I. Y., Park, H. Y. and Lee, Y. D., (2001), On a hypersurface of a special Finsler spaces with a metric (α +β2α), Korean J. Math. Sciences, 8, pp. 93-101
  6. Lee, I Y and Park, H. S., (2004), Finsler spaces with infinite series (α, β)-metric, J.Korean Math. Society,41(3), pp. 567-589
  7. Matsumoto, M., (1985), The induced and intrinsic Finsler connections of a hypersurface and Finslerian projective geometry, J. Math. Kyoto Univ., 25, pp.107-144
  8. Pandey, T. N. and Tripathi B. K., (2007), On a hypersurface of a Finsler Space with Special (α, β)- Metric, Tensor, N. S., 68, pp. 158-166
  9. Singh, U. P. and Kumari, Bindu, (2001), On a hypersurface of a Matsumoto space, Indian J. pure appl. Math., 32, pp. 521-531
  10. Shen, Z. M. and Yu, C. T., (2014), On Einstein square metrics, Publ. Math. Debr., 85, (3–4), pp. 413-424.