On some rigidity properties of mappings between CR-submanifolds in complex space

Meylan, Francine; Mir, Nordine; Zaitsev, Dimitri

doi:10.5802/jedp.626

Meylan, Francine ; Mir, Nordine ; Zaitsev, Dimitri

Journées équations aux dérivées partielles (2003), article no. 12, 20 p.

Résumé

We survey some recent results on holomorphic or formal mappings sending real submanifolds in complex space into each other. More specifically, the approximation and convergence properties of formal CR-mappings between real-analytic CR-submanifolds will be discussed, as well as the corresponding questions in the category of real-algebraic CR-submanifolds.

MR Zbl

DOI : 10.5802/jedp.626

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     author = {Meylan, Francine and Mir, Nordine and Zaitsev, Dimitri},
     title = {On some rigidity properties of mappings between {CR-submanifolds} in complex space},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {12},
     pages = {1--20},
     publisher = {Universit\'e de Nantes},
     year = {2003},
     doi = {10.5802/jedp.626},
     mrnumber = {2050598},
     zbl = {02079447},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/jedp.626/}
}

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Meylan, Francine; Mir, Nordine; Zaitsev, Dimitri. On some rigidity properties of mappings between CR-submanifolds in complex space. Journées équations aux dérivées partielles (2003), article  no. 12, 20 p. doi : 10.5802/jedp.626. http://www.numdam.org/articles/10.5802/jedp.626/

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