Displaying similar documents to “The Surgery of Lagrange Submanifolds.”

Chen's inequality in the Lagrangian case

Teodor Oprea (2007)

Colloquium Mathematicae

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In the theory of submanifolds, the following problem is fundamental: establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C. Udrişte that the method of constrained extremum is a natural way to prove geometric inequalities. We improve Chen's inequality which characterizes a totally real submanifold of a complex...

On topologically distinct infinite families of exact Lagrangian fillings

Roman Golovko (2022)

Archivum Mathematicum

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In this note we construct examples of closed connected Legendrian submanifolds in high dimensional contact vector space that admit an arbitrary finite number of topologically distinct infinite families of diffeomorphic, but not Hamiltonian isotopic exact Lagrangian fillings.