The principal theme of this volume is "Geometry and Analysis on Complex Manifolds". It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, K�hler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-K�hler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.

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