Complete Kähler–Einstein Metric on Stein Manifolds With Negative Curvature-Reference-Cited by-同舟云学术

Complete Kähler–Einstein Metric on Stein Manifolds With Negative Curvature

Published:2020-06-30 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Lee Man-Chun¹

Affiliation:

1. Mathematics Department, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA

Abstract

Abstract We show the existence of complete negative Kähler–Einstein metric on Stein manifolds with holomorphic sectional curvature bounded from above by a negative constant. We prove that any Kähler metrics on such manifolds can be deformed to the complete negative Kähler–Einstein metric using the normalized Kähler–Ricci flow.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa142/33445118/rnaa142.pdf

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