Convergence of general inverse σk-flow on Kähler manifolds with Calabi ansatz

Hao Fang; Mijia Lai

doi:10.1090/S0002-9947-2013-05947-8

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Convergence of general inverse σk-flow on Kähler manifolds with Calabi ansatz

Journal article

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Convergence of general inverse σk-flow on Kähler manifolds with Calabi ansatz

Hao Fang and Mijia Lai

Transactions of the American Mathematical Society, Vol.365(12), pp.6543-6567

12/01/2013

DOI: 10.1090/S0002-9947-2013-05947-8

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Abstract

We study the convergence behavior of the general inverse σk-flow on Kähler manifolds with initial metrics satisfying the Calabi ansatz. The limiting metrics can be either smooth or singular. In the latter case, interesting conic singularities along negatively self-intersected subvarieties are formed as a result of partial blow up.

Details

Title: Subtitle: Convergence of general inverse σk-flow on Kähler manifolds with Calabi ansatz
Creators: Hao Fang - University of Iowa, Mathematics
Mijia Lai - University of Rochester
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.365(12), pp.6543-6567
DOI: 10.1090/S0002-9947-2013-05947-8
ISSN: 0002-9947
eISSN: 1088-6850
Publisher: American Mathematical Society
Number of pages: 25
Grant note: DMS1008249 / National Science Foundation
Language: English
Date published: 12/01/2013
Academic Unit: Mathematics
Record Identifier: 9984240761202771

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