A general Schwarz lemma for almost-Hermitian manifolds

Valentino Tosatti

doi:10.4310/CAG.2007.v15.n5.a6

A general Schwarz lemma for almost-Hermitian manifolds

Valentino Tosatti^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

We prove a version of Yau's Schwarz lemma for general almost-complex manifolds equipped with almost-Hermitian metrics. This requires an extension to this setting of the Laplacian comparison theorem. As an application, we show that the product of two almost-complex manifolds does not admit any complete almost-Hermitian metric with bisectional curvature bounded between two negative constants that satisfies some additional assumptions.

Original language	English (US)
Pages (from-to)	1063-1086
Number of pages	24
Journal	Communications in Analysis and Geometry
Volume	15
Issue number	5
DOIs	https://doi.org/10.4310/CAG.2007.v15.n5.a6
State	Published - Dec 2007

ASJC Scopus subject areas

Analysis
Statistics and Probability
Geometry and Topology
Statistics, Probability and Uncertainty

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10.4310/CAG.2007.v15.n5.a6

Cite this

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A general Schwarz lemma for almost-Hermitian manifolds

Abstract

ASJC Scopus subject areas

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