General Schwarz Lemmata and their applications

Abstract

We prove estimates interpolating the Schwarz Lemmata of Royden-Yau and the ones recently established by the author. These more flexible estimates provide additional information on (algebraic) geometric aspects of compact Kähler manifolds with nonnegative holomorphic sectional curvature, nonnegative $\Ric_\ell$ or positive $S_{\ell }$.

References in corpus (2)

• Liouville theorems and a Schwarz Lemma for holomorphic mappings between Kähler manifolds
• The fundamental group, rational connectedness and the positivity of Kaehler manifolds

Cited by in corpus (1)

• On pseudoholomorphic map between almost Hermitian manifolds