On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
Round 1
Reviewer 1 Report
In this paper, the authors found the Ricci curvature for the homogeneous generalized Matsumoto change of a Finsler space. They obtains the necessary and sufficient condition for the S-curvature to be vanish, and gathered the expression of Ricci curvature with vanishing the S-curvature.
It is good.
Author Response
Ref: mathematics-2488562
On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
by Yanlin Li, M. K. Gupta, Suman Sharma, and Sudhakar Kumar Chaubey
Response to Reviewer I comment / suggestions:
- We respect Hon'ble Reviewer's comments and criticisms. His suggestions are noteworthy.
- In response to the valued suggestions provided by the Hon'ble Reviewer, we have revised the manuscript and edited the language where it is required.
Reviewer 2 Report
I would like to recommend that this paper will be accepted for publication, even though I have some doubts about my recommendation.
The authors present an explicit expression for the Ricci curvature for the generalized homogeneous Matsumoto metric and give a necessary and sufficient condition for vanishing S-curvature in this space. These results are obtained by straightforward application of previous results reported in the literature for a more general case, and, therefore, they seem more an exercise than a proper research result. It would help to make the paper more interesting to the readers if the authors would explain the motivation or interest of the particular case they consider.
As a minor comment, I would add that I think the authors could also improve the presentation of their paper by drawing a clearer separation in the Introduction between the results obtained in the literature that they re-obtain in section 2 and their own contribution presented in sections 3 and 4.
On occasion, their sentences are really intricate and challenging to understand. I think it will help to break these sentences into several, which will be easier to follow.
Author Response
Please see the attachment.
Author Response File: 
Author Response.pdf
Reviewer 3 Report
In this article the authors have demonstrated an expression of Ricci curvature for the homogeneous generalized Matsumoto metric and also deduced the expression of Ricci curvature for the Matsumoto metric. They have also proved the necessary and sufficient condition for the S-curvature to vanish. However, I have two major concerns and one minor concern. First, the proof for Theorem 3 is not complete, more details and justifications are needed. The calculations are tedious without any insights or explanations. The authors must rewrite the proof or give a tabel/chart to illustrate the calculation process. Second, some applications for Theorem 4 and Theorem 5 should be provided. Without any applications, the results are barely useful. My minor concern is regarding the language. There are many typos and grammatical errors in the paper. If possible, I suggest a professional editing service. If all these comments are addressed, I recommend acceptance of the paper.
Language needs substantial improvement.
Author Response
Please see the attachment.
Author Response File: Author Response.pdf
Round 2
Reviewer 3 Report
The paper has been well-revised. The only problem here is the language quality. I recommend a professional editing service if possible.
The only problem here is the language quality. I recommend a professional editing service if possible.
