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

Francine Meylan; Nordine Mir; Dimitri Zaitsev

Journées équations aux dérivées partielles (2003)

  • page 1-20
  • ISSN: 0752-0360

Abstract

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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.

How to cite

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Meylan, Francine, Mir, Nordine, and Zaitsev, Dimitri. "On some rigidity properties of mappings between CR-submanifolds in complex space." Journées équations aux dérivées partielles (2003): 1-20. <http://eudml.org/doc/93439>.

@article{Meylan2003,
abstract = {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.},
author = {Meylan, Francine, Mir, Nordine, Zaitsev, Dimitri},
journal = {Journées équations aux dérivées partielles},
keywords = {real analytic CR manifold; real algebraic CR-manifold; formal map; convergence of formal maps; Segre variety; Segre sets},
language = {eng},
pages = {1-20},
publisher = {Université de Nantes},
title = {On some rigidity properties of mappings between CR-submanifolds in complex space},
url = {http://eudml.org/doc/93439},
year = {2003},
}

TY - JOUR
AU - Meylan, Francine
AU - Mir, Nordine
AU - Zaitsev, Dimitri
TI - On some rigidity properties of mappings between CR-submanifolds in complex space
JO - Journées équations aux dérivées partielles
PY - 2003
PB - Université de Nantes
SP - 1
EP - 20
AB - 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.
LA - eng
KW - real analytic CR manifold; real algebraic CR-manifold; formal map; convergence of formal maps; Segre variety; Segre sets
UR - http://eudml.org/doc/93439
ER -

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