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Satoshi Ueki （Tohoku Univ.） |
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| Title : Stability of non-compact minimal Lagrangian submanifolds in K\"ahler
manifolds and $L^2$ harmonic 1-forms
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Abstract
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It is known that a compact Lagrangian stable minimal Lagrangian submanifold
in a K\"ahler submanifold with positive Chern class has no nontrivial
harmonic 1-forms.
On the other hand, it is also known that a complete non-compact stable
minimal hypersurface in a Riemannian manifold with non-negative sectional
curvature has no non-trivial $L^2$ harmonic 1-forms.
In this talk, we will consider the relation between stability of complete non-compact minimal Lagrangian submanifolds in a K\"ahler submanifold and nonexistence of $L^2$ harmonic 1-forms.
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Organizer: Reiko Miyaoka
Contact：
Grants-in-Aids for Scientific research：23340012 |
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