The \(\partial\overline{\partial}\)-Bochner formulas for holomorphic mappings between Hermitian manifolds and their applications

DOI10.1007/S10473-021-0515-4OpenAlexW3175043145WikidataQ113904580 ScholiaQ113904580MaRDI QIDQ2154347

Kai Tang

Publication date: 19 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02363

zbMATH Keywords

holomorphic mapHermitian manifoldsSchwarz lemmas\(\ell\)-second Ricci curvatureBochner formulas

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Positive curvature complex manifolds (32Q10) Negative curvature complex manifolds (32Q05)

Cites Work

• Unnamed Item
• Unnamed Item
• Negative holomorphic curvature and positive canonical bundle
• A general Schwarz lemma for almost-Hermitian manifolds
• The Ahlfors-Schwarz lemma in several complex variables
• A note on conical Kähler-Ricci flow on minimal elliptic Kähler surfaces
• A General Schwarz Lemma for Kahler Manifolds
• On real bisectional curvature for Hermitian manifolds
• RC-POSITIVITY, VANISHING THEOREMS AND RIGIDITY OF HOLOMORPHIC MAPS
• Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds
• Complex Manifolds With Negative Curvature Operator
• General Schwarz Lemmata and their applications
• Integral inequalities for holomorphic maps and applications
• Holomorphic mappings of complex manifolds

This page was built for publication: The \(\partial\overline{\partial}\)-Bochner formulas for holomorphic mappings between Hermitian manifolds and their applications