ArticleOriginal scientific text

Title

The super complex Frobenius theorem

Authors 1, 1

Affiliations

  1. Department of Mathematics, State University of New York, Stony Brook, New York 11794, U.S.A.

Abstract

We formulate and prove a super analogue of the complex Frobenius theorem of Nirenberg.

Keywords

graded-commutative algebras, supermanifolds, Levi flat super CR structure, locally direct sheaf, super real integrable distribution, super complex Frobenius structure, nilpotent element, derivations

Bibliography

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  5. C. LeBrun and M. Rothstein, Moduli of super Riemann surfaces, Comm. Math. Phys. 117 (1988), 159-176.
  6. D. A. Leites, Introduction to the theory of supermanifolds, Russian Math. Surveys 35 (1980), 3-57.
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  9. L. Nirenberg, A Complex Frobenius Theorem, Seminars on Analytic Functions, Vol. 1, Institute of Advanced Study, Princeton 1958.
Pages:
139-155
Main language of publication
English
Received
1990-09-12
Published
1991
Exact and natural sciences