Embeddability of abstract CR structures and integrability of related systems

Salah Baouendi; Linda P. Rothschild

Annales de l'institut Fourier (1987)

  • Volume: 37, Issue: 3, page 131-141
  • ISSN: 0373-0956

Abstract

top
Necessary and sufficient conditions for local embeddability of abstract C R structures are expressed in terms of the commutation of the C R vector fields with a complex Lie algebra. These results extend to more general systems.

How to cite

top

Baouendi, Salah, and Rothschild, Linda P.. "Embeddability of abstract CR structures and integrability of related systems." Annales de l'institut Fourier 37.3 (1987): 131-141. <http://eudml.org/doc/74760>.

@article{Baouendi1987,
abstract = {Necessary and sufficient conditions for local embeddability of abstract $CR$ structures are expressed in terms of the commutation of the $CR$ vector fields with a complex Lie algebra. These results extend to more general systems.},
author = {Baouendi, Salah, Rothschild, Linda P.},
journal = {Annales de l'institut Fourier},
keywords = {local embeddability; abstract CR structures},
language = {eng},
number = {3},
pages = {131-141},
publisher = {Association des Annales de l'Institut Fourier},
title = {Embeddability of abstract CR structures and integrability of related systems},
url = {http://eudml.org/doc/74760},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Baouendi, Salah
AU - Rothschild, Linda P.
TI - Embeddability of abstract CR structures and integrability of related systems
JO - Annales de l'institut Fourier
PY - 1987
PB - Association des Annales de l'Institut Fourier
VL - 37
IS - 3
SP - 131
EP - 141
AB - Necessary and sufficient conditions for local embeddability of abstract $CR$ structures are expressed in terms of the commutation of the $CR$ vector fields with a complex Lie algebra. These results extend to more general systems.
LA - eng
KW - local embeddability; abstract CR structures
UR - http://eudml.org/doc/74760
ER -

References

top
  1. [1] M. S. BAOUENDI, L. P. ROTHSCHILD and F. TREVES, CR structures with group action and extendability of CR functions, Invent. Math., 83 (1985), 359-396. Zbl0598.32019MR87i:32028
  2. [2] M. S. BAOUENDI and F. TREVES, A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. of Math., 113 (1981), 387-421. Zbl0491.35036MR82f:35057
  3. [3] L. HÖRMANDER, The Frobenius-Nirenberg theorem, Arkiv För Mat., 5-29 (1964), 425-432. Zbl0136.09104
  4. [4] H. JACOBOWITZ, The canonical bundle and realizable CR hypersurfaces, preprint. Zbl0583.32050
  5. [5] H. JACOBOWITZ and F. TREVES, Non-realizable CR structures, Invent. Math., 66 (1982), 231-149. Zbl0487.32015MR83f:53022
  6. [6] A. NEWLANDER and L. NIRENBERG, Complex coordinates in almost complex manifolds, Ann. of Math., (2) 65 (1957), 391-404. Zbl0079.16102MR19,577a
  7. [7] L. NIRENBERG, A Complex Frobenius Theorem, Seminar on analytic functions I, Princeton, (1957), 172-189. Zbl0099.37502
  8. [8] L. NIRENBERG, On a question of Hans Lewy, Russian Math. Surveys, 29 (1974), 251-262. Zbl0305.35017MR58 #11823
  9. [9] F. TREVES, Approximation and Representation of Functions and Distributions Annihilated by a System of Complex Vector Fields, Ecole Polytechnique, Palaiseau, France, (1981). Zbl0515.58030MR84k:58008

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.