Local curvature estimates along the κ-LYZ flow

Yi Li; Yuan Yuan

doi:10.1016/j.geomphys.2021.104162

Local curvature estimates along the κ-LYZ flow

Yi Li, Yuan Yuan

Department of Mathematics

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

Abstract

In this paper we prove a local curvature estimate for the κ-LYZ flow over Kähler manifolds introduced in Fei et al. (2019) and Li et al. (2020). In particular, we generalize the long time existence of the flow.

Original language	English (US)
Article number	104162
Journal	Journal of Geometry and Physics
Volume	164
DOIs	https://doi.org/10.1016/j.geomphys.2021.104162
State	Published - Jun 2021

Keywords

Curvature estimate
cscK metric
κ-LYZ flow

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/j.geomphys.2021.104162

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title = "Local curvature estimates along the κ-LYZ flow",

abstract = "In this paper we prove a local curvature estimate for the κ-LYZ flow over K{\"a}hler manifolds introduced in Fei et al. (2019) and Li et al. (2020). In particular, we generalize the long time existence of the flow.",

keywords = "Curvature estimate, cscK metric, κ-LYZ flow",

author = "Yi Li and Yuan Yuan",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

month = jun,

doi = "10.1016/j.geomphys.2021.104162",

language = "English (US)",

volume = "164",

journal = "Journal of Geometry and Physics",

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T1 - Local curvature estimates along the κ-LYZ flow

AU - Li, Yi

AU - Yuan, Yuan

PY - 2021/6

Y1 - 2021/6

N2 - In this paper we prove a local curvature estimate for the κ-LYZ flow over Kähler manifolds introduced in Fei et al. (2019) and Li et al. (2020). In particular, we generalize the long time existence of the flow.

AB - In this paper we prove a local curvature estimate for the κ-LYZ flow over Kähler manifolds introduced in Fei et al. (2019) and Li et al. (2020). In particular, we generalize the long time existence of the flow.

KW - Curvature estimate

KW - cscK metric

KW - κ-LYZ flow

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DO - 10.1016/j.geomphys.2021.104162

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VL - 164

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104162

ER -

Local curvature estimates along the κ-LYZ flow

Abstract

Keywords

ASJC Scopus subject areas

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