科研之友
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摘要
In this paper, we prove that if the area functional of a surface Sigma(2) in a symplectic manifold (M-2n, (omega) over bar) has a critical point or has a compatible stable point in the same cohomology class, then it must be J-holomorphic. Inspired by a classical result of Lawson-Simons, we show how various restrictions of the stability assumption to variations of metrics in the space "projectively induced" metrics are enough to give the desired conclusion.
- 出版日期2015-12
