Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds

Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds
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DOI:
10.1007/bf01231513
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发表时间:
1990-12
影响因子:
3.1
通讯作者:
Y. Oh
Y. Oh
中科院分区:
数学1区
文献类型:
--
作者:
Y. Oh

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Next, we introduce the notion of hamiltonian stability (either local or global) of minimal lagrangian submanifolds in Einstein-Kfihler manifolds. Using our second variation formula, we find a general criterion for the local hamiltonian stability for minimal lagrangian submanifolds in Einstein-K/ihler manifolds. This criterion is satisfied for all real forms which are Einstein, of irreducible Hermitian symmetric spaces, eg, the cannonical RP" c CP". It is also satisfied by the Clifford torus T" c CP".