The Continuity Equation, Hermitian Metrics and Elliptic Bundles

Morgan Sherman; Ben Weinkove

doi:10.1007/s12220-019-00168-5

The Continuity Equation, Hermitian Metrics and Elliptic Bundles

Morgan Sherman, Ben Weinkove^*

^*Corresponding author for this work

Mathematics

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

4 Scopus citations

Abstract

We extend the continuity equation of La Nave–Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern–Ricci flow, and we illustrate this in the case of elliptic bundles over a curve of genus at least two.

Original language	English (US)
Pages (from-to)	762-776
Number of pages	15
Journal	Journal of Geometric Analysis
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s12220-019-00168-5
State	Published - Jan 1 2020

Keywords

Chern–Ricci curvature
Continuity equation
Elliptic bundles
Hermitian metrics

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-019-00168-5

Cite this

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title = "The Continuity Equation, Hermitian Metrics and Elliptic Bundles",

abstract = "We extend the continuity equation of La Nave–Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern–Ricci flow, and we illustrate this in the case of elliptic bundles over a curve of genus at least two.",

keywords = "Chern–Ricci curvature, Continuity equation, Elliptic bundles, Hermitian metrics",

author = "Morgan Sherman and Ben Weinkove",

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KW - Chern–Ricci curvature

KW - Continuity equation

KW - Elliptic bundles

KW - Hermitian metrics

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The Continuity Equation, Hermitian Metrics and Elliptic Bundles

Abstract

Keywords

ASJC Scopus subject areas

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