Abstract
In this paper, we extend the maximum principle for (1, 1)-Hermitian symmetric tensor to a complete Kahler manifold with bounded holomorphic bisectional curvature and nonnegative orthogonal bisectional curvature. We also achieve a maximum principle for real (p, p)-forms on a compact Kahler manifold with nonnegative holomorphic sectional curvature and vanishing Bochner tensor.
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