Comparison theorems in Finsler geometry and their applications

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A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results (2013, methodology): “Shen Proof By [34, 39], 4r = ∂ ∂r logσp(r, y) = ∂ ∂r log σ̂p(r, y) and 4r + d dr τ (γ̇y(r)) ≤ ∂ ∂r log[sk(r)] n−1, for 0 < r < i y .”
A sharp lower bound for the first eigenvalue on Finsler manifolds (2011, methodology): “ther interesting type of eigenvalue estimates was obtained by Ge-Shen in [6], namely the Faber-Krahn type inequality for the ﬁrst Dirichlet eigenvalue of the Finsler-Laplacian holds. See also [4] and [22]. Recently, we proved in [21] the Li-Yau-Zhong-Yang type sharp estimate for a so-called anisotro”
Uniform convexity and smoothness, and their applications in Finsler geometry (2009, result): “We refer to [4,10,26–28,33] for known results in comparison Finsler geometry.”