[1] Antonelli P, Zastawniak T. The theory of Finslerian Laplacian and application//Math and Its Appl, 459. Netherlands:Kluwer Acad Publishers, 1998 [2] Antonelli P, Zastawniak T. Fundamentals of Finslerian Diffusion with Applications. Fundamental Theories of Physics, 101. Berlin:Springer-Verlag, 1999 [3] Bao D, Lackey B. A Hodge decomposition theorem for Finsler spaces. C R Acad Sc Paris, 1996, 223(1):51-56 [4] Barthelmé T. A natural Finsler-Laplace operator. Israel J Math, 2013, 196(1):375-412 [5] Barthelmé T, Colbois B. Eigenvalue control for a Finsler-Laplace operator. Ann Global Anal Geom, 2013, 44(1):43-72 [6] Cheng S. Eigenvalue comparison theorem and its geometric applications. Math Z, 1975, 143(3):289-297 [7] Centore P. The theory of Finslerian Laplacians and applications:A mean-value Laplacian for Finsler spaces//Mean-Value Properties of Harmonic Functions, Math and Its Appl, 459. Netherlands:Kluwer Acad Publishers, 1998 [8] Futaki A, Li H, Li X. On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking Ricci solitons. Ann Global Anal Geom, 2011, 44(2):105-114 [9] Ge Y, Shen Z. Eigenvalues and eigenfunctions of metric measure manifolds. Proc London Math Soc, 2001, 82(5):725-746 [10] He Q, Shen Y. Some results on harmonic maps for Finsler manifolds. Int J Math, 2005, 16(9):1017-1031 [11] He Q, Shen Y. Some properties of harmonic maps for Finsler manifolds. Houston J Math, 2007, 33(3):683-699 [12] Hang F, Wang X. A remark on Zhong-Yang's eigenvalue estimate. Int Math Res Not, 2007, 18:9pp [13] Lichnerowicz A. Geometrie des groupes de transforamtions//Travaux et Recherches Mathemtiques, 3. Paris:Dunod, 1958 [14] Li P, Yau S. Geometry of the Laplace operator:Estimates of eigenvalues of a compact Riemannian manifold//Proc Sympos Pure Math, 36. Providence:Amer Math Soc, 1980:205-239 [15] Mo X, Yang Y. The existence of harmonic maps from Finsler manifolds to Riemannian manifolds. Sci China, 2005, 48A(1):115-130 [16] Numata S. On Landsbery spaces of scalar curvature. J Korean Math Soc, 1975, 12(2):97-100 [17] Obata M. Certain conditions for a Riemannian manifold tobe isometric with a sphere. J Math Soc Japan, 1962, 14(3):333-340 [18] Ohta S, Sturm K T. Bochner-Weitzenbock formula and Li-Yau estimates on Finsler manifolds. Adv Math, 2014, 252(3):429-448 [19] Shen Z. The theory of Finslerian Laplacians and applications:the non-linear Laplacian for Finsler manifolds//On Finsler Laplacians, Math and Its Appl, 459. Netherlands:Kluwer Acad Press, 1998 [20] Szabó Z I. Positive definite Berwald spaces (Structure theorems on Berwald spaces). Tensor (N.S.), 1981, 35(1):25-39 [21] Wang G, Xia C. A sharp lower bound for the first eigenvalue on Finsler manifolds. Ann I H Poincaré, 2013, 30(6):983-996 [22] Yin S, He Q, Shen Y. On Lower Bounds of the First Eigenvalue of Finsler-Laplacia. Publ Math Debrecen, 2013, 83(3):385-405 [23] Zhong J, Yang H. On the estimates of the first eigenvalue of a compact Riemannian manifold. Sci Sinica, 1984, 27A(12):1265-1273 |