Geodesic
On families of Lagrangian submanifolds
Journal of Singularities, Tome 21 (2020), pp. 167-186

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Lagrangian equivalence among Lagrangian submanifolds and S.P^+-Legendrian equivalence among graph-like Legendrian unfoldings are equivalent. We investigate r-parameter families of Lagrangian submanifolds and r-parameter families of graph-like Legendrian unfoldings. Then we show that r-parameter families of Lagrangian equivalence and r-parameter families of S.P^+-Legendrian equivalence are equivalent. As an application, we give a generic classification of bifurcations of Lagrangian submanifold germs for lower dimensions.
DOI : 10.5427/jsing.2020.21j
Classification : 57R45, 53D12, 37J20, 58K40 
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     author = {Shyuichi Izumiya and Masatomo Takahashi},
     title = {On families of {Lagrangian} submanifolds},
     journal = {Journal of Singularities},
     pages = {167--186},
     publisher = {mathdoc},
     volume = {21},
     year = {2020},
     doi = {10.5427/jsing.2020.21j},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.21j/}
}
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Shyuichi Izumiya; Masatomo Takahashi. On families of Lagrangian submanifolds. Journal of Singularities, Tome 21 (2020), pp. 167-186. doi: 10.5427/jsing.2020.21j

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