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arXiv · 1501.03608

On a family of Lagrangian submanifolds in bidisks and Lagrangian Hofer metric

Yusuke Masatani
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Abstract

We construct a family of uncountably many Lagrangian submanifolds in the standard bidisks such that the Lagrangian Hofer diameter associated to each Lagrangian submanifold is unbounded. We also prove a certain inequality of the Lagrangian Hofer metric which is of the same type as S. Seyfaddini's for the case of the real form of the complex $n$-ball.

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Yusuke Masatani. 2015-01-15. On a family of Lagrangian submanifolds in bidisks and Lagrangian Hofer metric. https://arxiv.org/abs/1501.03608

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