On six- dimensional Finsler space

Document Type : Original Article

Authors

Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U.P.), India

Abstract

The objective of this research paper is to comprehensively explore the main scalars within the cotext of the six- dimensional Finsler space. This investigation leverages both h-connection vectors and v- connection vectors. Additionally we have introduced the T-condition and v-curvature tensor S_hijk and express them in an extended form in relation to scalars and tensors in terms of main scalars.

Keywords


  • 1. A. Moor, Uberdie Torsion-Und Krummung invarianten der deridimensonalen Finslerschen Raum, Math. Nachr. 16(1957), 85-99.
  • 2. M. Matsumoto and R. Miron, On an invariant theory of Finsler Spaces, Period. Math.
    Hunger, 8(1) (1977), 73-82.
  • 3. M. Matsumoto, Foundation of Finsler geometry and speial Finsler spaces, Kaiseisha
    Press, Shigaken, 1986.
  • 4. M. K. Gupta and P. N. Pandey, On S-3 like Four-dimensional Finsler spaces, Acta Math.
    Aca. Paeda. Nyiregyhaziensis, 26(2010), 305-312.
  • 5. M. Matsumoto and H. Shimada, On Finsler spaces with curvature tensor Phijk and
    Shijk satisfying special conditions, Rep. on Math. Phys., 12(1977), 77-87.
  • 6. P. K. Dwivedi, S. C. Rastogi and A. K. Dwivedi, Theory of six dimensional Finsler
    spaces in terms of scalars, Mukt Shabd Journal, vol(9), issue-6, (2020), 2007-2022.
  • 7. S. K. Tiwari and Anamika Rai, On S-3 like Five-dimensional Finsler spaces, The Sciemtific Temper, 12(2021), 59-64.