Hamiltonian stability of certain minimal Lagrangian submanifolds incomplex projective spaces

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概要

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• A compact minimal Lagrangian submanifold immersed in a Kahler manifold is called Hamiltonian 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. Takeuchi.

• 東北大学の論文

著者

• Ohnita Yoshihiro

  Department Of Mathematics Graduate School Of Science Tokyometropolitanuniversity

• Amarzaya Amartuvshin

  School of Mathematics and Computer Science, National Universtiyof Mongolia

• Amarzaya Amartuvshin

  School Of Mathematics And Computer Science National Universtiyof Mongolia

関連論文

• On slant immersions in Kohler manifolds.
• Group actions and deformations for harmonic maps
• Minimal 2-spheres with constant curvature in Pn(C)
• Hamiltonian stability of certain minimal Lagrangian submanifolds incomplex projective spaces
• STABILITY OF HARMONIC MAPS AND STANDARD MINIMAL IMMERSIONS

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