The Fu–Yau equation on compact astheno-Kähler manifolds

Jianchun Chu; Liding Huang; Xiaohua Zhu

doi:10.1016/j.aim.2019.02.006

The Fu–Yau equation on compact astheno-Kähler manifolds

Jianchun Chu, Liding Huang, Xiaohua Zhu^*

^*Corresponding author for this work

Mathematics

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

8 Scopus citations

Abstract

In this paper, we study the Fu–Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kähler manifolds. We also prove the uniqueness of solutions of Fu–Yau equation when the slope parameter α is negative.

Original language	English (US)
Pages (from-to)	908-945
Number of pages	38
Journal	Advances in Mathematics
Volume	346
DOIs	https://doi.org/10.1016/j.aim.2019.02.006
State	Published - Apr 13 2019

Keywords

2-nd Hessian equation
Astheno-Kähler manifolds
Hermitian manifolds
The Fu–Yau equation

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2019.02.006

Cite this

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title = "The Fu–Yau equation on compact astheno-K{\"a}hler manifolds",

abstract = "In this paper, we study the Fu–Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-K{\"a}hler manifolds. We also prove the uniqueness of solutions of Fu–Yau equation when the slope parameter α is negative.",

keywords = "2-nd Hessian equation, Astheno-K{\"a}hler manifolds, Hermitian manifolds, The Fu–Yau equation",

author = "Jianchun Chu and Liding Huang and Xiaohua Zhu",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = apr,

day = "13",

doi = "10.1016/j.aim.2019.02.006",

language = "English (US)",

volume = "346",

pages = "908--945",

journal = "Advances in Mathematics",

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TY - JOUR

T1 - The Fu–Yau equation on compact astheno-Kähler manifolds

AU - Chu, Jianchun

AU - Huang, Liding

AU - Zhu, Xiaohua

PY - 2019/4/13

Y1 - 2019/4/13

N2 - In this paper, we study the Fu–Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kähler manifolds. We also prove the uniqueness of solutions of Fu–Yau equation when the slope parameter α is negative.

AB - In this paper, we study the Fu–Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kähler manifolds. We also prove the uniqueness of solutions of Fu–Yau equation when the slope parameter α is negative.

KW - 2-nd Hessian equation

KW - Astheno-Kähler manifolds

KW - Hermitian manifolds

KW - The Fu–Yau equation

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U2 - 10.1016/j.aim.2019.02.006

DO - 10.1016/j.aim.2019.02.006

M3 - Article

AN - SCOPUS:85061575066

SN - 0001-8708

VL - 346

SP - 908

EP - 945

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

The Fu–Yau equation on compact astheno-Kähler manifolds

Abstract

Keywords

ASJC Scopus subject areas

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