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On the geometric
flows solving Kählerian inverse σk
equations
Hao Fang and Mijia Lai |
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Vol. 258 (2012), No. 2, 291–304
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Abstract |
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Here we extend our previous work on the inverse σk problem. The inverse σk problem is a fully nonlinear geometric PDE on compact Kähler manifolds. Given a proper geometric condition, we prove that a large family of nonlinear geometric flows converges to the desired solution of the given PDE. |
Keywords
fully nonlinear geometric flows, inverse σk
equation
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Mathematical Subject Classification 2010
Primary: 35K55, 53C44, 53C55
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Milestones
Received: 22 September 2011
Accepted: 27 February 2012
Published: 1 August 2012
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Authors |
| Hao Fang | |
| 14 Maclean Hall University of Iowa Iowa City, IA 52242 United States |
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| Mijia Lai | |
| 915 Hylan Building University of Rochester RC Box 270138 Rochester, NY 14627 United States |
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