HAMILTONIAN STABILITY OF CERTAIN MINIMAL LAGRANGIAN SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES
HAMILTONIAN STABILITY OF CERTAIN MINIMAL LAGRANGIAN SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES
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DOI：
10.2748/tmj/1113247132
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发表时间：
2003-12
影响因子：
0.5
通讯作者：
A. Amarzaya;Y. Ohnita
中科院分区：
文献类型：
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作者：
A. Amarzaya;Y. Ohnita
如果浸入凯勒流形中的紧致最小拉格朗日子流形的体积的二阶变化在所有哈密顿变形下均为非负，则该子流形称为哈密顿稳定。我们研究嵌入复杂射影空间中的具有并行第二基本形式的紧致哈密顿稳定最小拉格朗日子流形。此外，我们完全确定了紧不可约埃尔米特对称空间中所有实数形式的哈密顿稳定性，这些空间先前由 M. Takeuch 分类
A compact minimal Lagrangian submanifold immersed in a Kähler manifold is calledHamiltonian stable if the second variation of its volume is nonnegative under all Hamiltonian deformations. We study compact Hamiltonian stable minimal Lagrangian submanifolds with parallel second fundamental form embedded in complex projective spaces. Moreover, we completely determine Hamiltonian stability of all real forms in compact irreducible Hermitian symmetric spaces, which were classified previously by M. Takeuch