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Inequalities between intrinsic metrics

Inequalities between intrinsic metrics

We introduce the “<italic>m</italic>th order Carathéodory-Reiffen metric,” the “<italic>m</italic>th order Bergman metric” and the “<italic>m</italic>th order modified Bergman metric” on <italic>M</italic>. Here <italic>M</italic> is a complex manifold which is ample in a suitable sense. These “metrics” are defined on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper T left-parenthesis upper M right-parenthesis"> <mml:semantics> …