Cohn–Vossen inequality on certain noncompact Kähler manifolds

Gang Liu

doi:10.1007/s00209-022-03105-5

Cohn–Vossen inequality on certain noncompact Kähler manifolds

Gang Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We generalize the Cohn–Vossen inequality to certain noncompact Kähler manifolds. We also solve a special type of Poincaré–Lelong equation on such manifolds.

Original language	English
Pages (from-to)	1025-1034
Number of pages	10
Journal	Mathematische Zeitschrift
Volume	302
Issue number	2
DOIs	https://doi.org/10.1007/s00209-022-03105-5
State	Published - Oct 2022

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title = "Cohn–Vossen inequality on certain noncompact K{\"a}hler manifolds",

abstract = "We generalize the Cohn–Vossen inequality to certain noncompact K{\"a}hler manifolds. We also solve a special type of Poincar{\'e}–Lelong equation on such manifolds.",

author = "Gang Liu",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

month = oct,

doi = "10.1007/s00209-022-03105-5",

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AB - We generalize the Cohn–Vossen inequality to certain noncompact Kähler manifolds. We also solve a special type of Poincaré–Lelong equation on such manifolds.

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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Cohn–Vossen inequality on certain noncompact Kähler manifolds

Abstract

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