Acknowledgement
Supported by : Iran National Science Foundation
References
- H. Akbar-Zadeh, Initiation to Global Finslerian Geometry, North-Holland Mathematical Library, 68, Elsevier Science B.V., Amsterdam, 2006.
- S. Azami and A. Razavi, Existence and uniqueness for solution of Ricci flow on Finsler manifolds, Int. J. Geom. Methods Mod. Phys. 10 (2013), no. 3, 1250091, 21 pp.
- D. Bao, On two curvature-driven problems in Riemann-Finsler geometry, in Finsler geometry, Sapporo 2005-in memory of Makoto Matsumoto, 19-71, Adv. Stud. Pure Math., 48, Math. Soc. Japan, Tokyo, 2007.
- D. Bao, S.-S. Chern, and Z. Shen, An Introduction to Riemann-Finsler Geometry, Graduate Texts in Mathematics, 200, Springer-Verlag, New York, 2000.
- D. Bao and Z. M. Shen, On the volume of unit tangent spheres in a Finsler manifold, Results Math. 26 (1994), no. 1-2, 1-17. https://doi.org/10.1007/BF03322283
- B. Bidabad and M. K. Sedaghat, Hamilton's Ricci Flow on Finsler Spaces, arXiv:1508.02893, 2015.
- B. Bidabad and M. K. Sedaghat, Ricci flow on Finsler surfaces, J. Geom. Phys., 2018.
- B. Bidabad, A. Shahi, and M. Yarahmadi, Deformation of Cartan curvature on Finsler manifolds, Bull. Korean Math. Soc. 54, (2017), no. 6, 2119-2139. https://doi.org/10.4134/BKMS.B160780
- B. Bidabad and M. Yarahmadi, On quasi-Einstein Finsler spaces, Bull. Iranian Math. Soc. 40 (2014), no. 4, 921-930.
- S. Lakzian, Differential Harnack estimates for positive solutions to heat equation under Finsler-Ricci flow, Pacific J. Math. 278 (2015), no. 2, 447-462. https://doi.org/10.2140/pjm.2015.278.447
- B. Shen, Twisted Ricci flow on a class of Finsler metrics and its solitons, Differential Geom. Appl. 46 (2016), 132-145. https://doi.org/10.1016/j.difgeo.2016.02.005
- P. Topping, Lectures on the Ricci Flow, London Mathematical Society Lecture Note Series, 325, Cambridge University Press, Cambridge, 2006.
- S. I. Vacaru, Metric compatible or non-compatible Finsler-Ricci flows, Int. J. Geom. Methods Mod. Phys. 9 (2012), no. 5, 1250041, 26 pp.
- M. Yarahmadi and B. Bidabad, On compact Ricci solitons in Finsler geometry, C. R. Math. Acad. Sci. Paris 353 (2015), no. 11, 1023-1027. https://doi.org/10.1016/j.crma.2015.09.012
- M. Yarahmadi and B. Bidabad, Convergence of Finslerian metrics under Ricci flow, Sci. China Math. 59 (2016), no. 4, 741-750. https://doi.org/10.1007/s11425-015-5092-3