Schwarz lemma from a Kähler manifold into a complex Finsler manifold
In the present paper the authors establish a Schwarz lemma for holomorphic mappings \(f\) from \(M\) into \(N\) where \(M\) complete Kähler manifold and \(N\) strongly pseudoconvex complex Finsler manifold such that its holomorphic sectional curvature is bounded from above by a negative constant. Further, to show its applications, they obtain a Liouville-type rigidity result for holomorphic mappings \(f\) from \(M\) into \(N\), as well as a rigidity theorem for bimeromorphic mappings from a compact complex manifold into a compact complex Finsler manifold.
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