REVIEW 1 cited by
Cartan Connection for h-Matsumoto change
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
In the present paper, we have studied the Matsumoto change $\overline{L}(x,y)= \frac{L^{2}(x,y)}{L(x,y) - \beta(x,y)} $ with an \textsl{h-}vector $b_{i}(x,y)$. We have derived some fundamental tensors for this transformation. We have also obtained the necessary and sufficient condition for which the Cartan connection coefficients for both the spaces $F^{n}=(M^n,L)$ and $\overline{F}^{\,n}=(M^{n},\overline{L})$ are same.
Forward citations
Cited by 1 Pith paper
-
On Generalized Matsumoto Metrics with a Special $\pi$-form
For a Finsler metric with a concurrent π-vector field, bF = F^2/(F - Φ) is a conic Finsler structure exactly when F(1 + 2g(φ,φ)) - 3Φ ≠ 0, with explicit global transformation formulas for the associated geometric objects.
Discussion (0). Continue with ORCID to comment.