Abstract
In this work, we will verify some comparison results on Kähler manifolds. They are: complex Hessian comparison for the distance function from a closed complex submanifold of a Kähler manifold with holomorphic bisectional curvature bounded below by a constant, eigenvalue comparison and volume comparison in terms of scalar curvature. This work is motivated by comparison results of Li and Wang (J Differ Geom 69(1):43–47, 2005).
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Tam, LF., Yu, C. Some comparison theorems for Kähler manifolds. manuscripta math. 137, 483–495 (2012). https://doi.org/10.1007/s00229-011-0477-2
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DOI: https://doi.org/10.1007/s00229-011-0477-2