On the theorem of Frobenius for complex vector fields

Olle Stormark

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1982)

  • Volume: 9, Issue: 1, page 57-90
  • ISSN: 0391-173X

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Stormark, Olle. "On the theorem of Frobenius for complex vector fields." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 9.1 (1982): 57-90. <http://eudml.org/doc/83877>.

@article{Stormark1982,
author = {Stormark, Olle},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {tangential Cauchy-Riemann equations; vector field systems},
language = {eng},
number = {1},
pages = {57-90},
publisher = {Scuola normale superiore},
title = {On the theorem of Frobenius for complex vector fields},
url = {http://eudml.org/doc/83877},
volume = {9},
year = {1982},
}

TY - JOUR
AU - Stormark, Olle
TI - On the theorem of Frobenius for complex vector fields
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1982
PB - Scuola normale superiore
VL - 9
IS - 1
SP - 57
EP - 90
LA - eng
KW - tangential Cauchy-Riemann equations; vector field systems
UR - http://eudml.org/doc/83877
ER -

References

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  2. [2] A. Andreotti - C.D. Hill, E.E. Levi convexity and the Hans Lewy problem, Parts I and II, Ann. Scuola Norm. Sup. Pisa (3), 26 (1972), pp. 325-363, 767-806. Zbl0283.32013MR460725
  3. [3] E. Cartan - A. Einstein, Lettres sur le parallélisme absolu 1929-1932, Acad. Roy. de Belgique et Princeton Univ. Press, Bruxelles, 1979. Zbl0592.01014MR543192
  4. [4] G.B. Folland - E.M. Stein, Estimates for the ∂b complex and analysis on the Heisenberg group, Comm. Pure Appl. Math.27 (1974), pp. 429-522. Zbl0293.35012
  5. [5] M. Freeman, Local complex foliation of real submanifolds, Math. Ann.209 (1974), pp. 1-30. Zbl0267.32006MR346185
  6. [6] R. Hermann, Convexity and pseudoconvexity for complex manifolds, II, J. Math. Mech.13 (1964), pp. 1065-1070. Zbl0134.40102MR172312
  7. [7] L.R. Hunt - R.O. Wells, Extension of CR-functions, Amer. J. Math., 98 (1976), pp. 805-820. Zbl0334.32014MR432913
  8. [8] E. Kähler, Einführung in die Theorie der Systeme von Differentialgleichungen,, Chelsea Publ. Co., New York, 1949. Zbl0011.16103
  9. [9] M. Kuranishi, Lectures on exterior differential systems, Tata Institute of Fundamental Research, Bombay, 1962. Zbl0106.15303
  10. [10] L. Nirenberg, A complex Frobenius theorem, Seminar on Analytic Functions, Institute for Advanced Study (1957), pp. 172-189. Zbl0099.37502
  11. [11] L. Nirenberg, Lectures on linear partial differential equations, Regional Conf. Series in Math., no. 17, Amer. Math. Soc., Providence, R.I., 1973. Zbl0267.35001MR450755
  12. [12] J. Polking - R.O. Wells, Hyperfunction boundary values and a generalized Bochner-Hartogs theorem, Several complex variables (Proc. Sym. Pure Math., Vol. XXX, Part 1), pp. 187-193, Amer. Math. Soc., Providence, R.I., 1977. Zbl0358.32014MR442280
  13. [13] F. Sommer, Komplex-analytische Blätterung reeller Mannigfaltigkeiten im Cn, Math. Ann.136 (1958), pp. 111-133. Zbl0092.29902MR101924
  14. [14] O. Stormark, A note on a paper by Andreotti and Hill concerning the Hans Lewy problem, Ann. Scuola Norm. Sup. Pisa (4), 2 (1975), pp. 557-569. Zbl0313.32019MR477151
  15. [15] E. Vessiot, Sur une theorie nouvelle des problèmes généraux d'intégration, Bull. Soc. Math. France, 52 (1924), pp. 336-395. Zbl50.0297.03MR1504850JFM50.0297.03

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