Compactness of Kähler metrics with bounds on Ricci curvature and I functional

Xiuxiong Chen; Tamás Darvas; Weiyong He

doi:10.1007/s00526-019-1572-6

Compactness of Kähler metrics with bounds on Ricci curvature and I functional

Xiuxiong Chen
, Tamás Darvas
, Weiyong He

Mathematics

University of Maryland, College Park
University of Oregon

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

4 Scopus citations

Abstract

We prove a compactness theorem for Kähler metrics with various bounds on Ricci curvature and the I functional. We explore applications of our result to the continuity method and the Calabi flow.

Original language	English
Article number	139
Journal	Calculus of Variations and Partial Differential Equations
Volume	58
Issue number	4
DOIs	https://doi.org/10.1007/s00526-019-1572-6
State	Published - Aug 1 2019

Access to Document

10.1007/s00526-019-1572-6

Cite this

@article{1bd7d4f309b143b089c5a34aa8bcb2e9,

title = "Compactness of K{\"a}hler metrics with bounds on Ricci curvature and I functional",

abstract = "We prove a compactness theorem for K{\"a}hler metrics with various bounds on Ricci curvature and the I functional. We explore applications of our result to the continuity method and the Calabi flow.",

author = "Xiuxiong Chen and Tam{\'a}s Darvas and Weiyong He",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = aug,

day = "1",

doi = "10.1007/s00526-019-1572-6",

language = "English",

volume = "58",

journal = "Calculus of Variations and Partial Differential Equations",

issn = "0944-2669",

number = "4",

}

TY - JOUR

T1 - Compactness of Kähler metrics with bounds on Ricci curvature and I functional

AU - Chen, Xiuxiong

AU - Darvas, Tamás

AU - He, Weiyong

PY - 2019/8/1

Y1 - 2019/8/1

N2 - We prove a compactness theorem for Kähler metrics with various bounds on Ricci curvature and the I functional. We explore applications of our result to the continuity method and the Calabi flow.

AB - We prove a compactness theorem for Kähler metrics with various bounds on Ricci curvature and the I functional. We explore applications of our result to the continuity method and the Calabi flow.

UR - https://www.scopus.com/pages/publications/85069490537

U2 - 10.1007/s00526-019-1572-6

DO - 10.1007/s00526-019-1572-6

M3 - Article

AN - SCOPUS:85069490537

SN - 0944-2669

VL - 58

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 4

M1 - 139

ER -

Compactness of Kähler metrics with bounds on Ricci curvature and I functional

Abstract

Access to Document

Other files and links

Fingerprint

Cite this