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ArticleOriginal scientific text

Title

Holomorphic non-holonomic differential systems on complex manifolds

Authors 1

Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, P.O. Box 373, 1090 Sofia, Bulgaria

Abstract

We study coherent subsheaves of the holomorphic tangent sheaf of a complex manifold. A description of the corresponding -stable ideals and their closed complex subspaces is sketched. Our study of non-holonomicity is based on the Noetherian property of coherent analytic sheaves. This is inspired by the paper [3] which is related with some problems of mechanics.

Keywords

ENG
power -expansion, power -expansion, power -expansion, power -expansion

Bibliography

  1. S. Fischer, Complex Analytic Geometry, Lecture Notes in Math. 538, Springer, 1976.
  2. H. Grauert and R. Remmert, Coherent Analytic Sheaves, Springer, 1984.
  3. A. M. Vershik and V. Ya. Gershkovich, Nonholonomic dynamical systems. Geometry of distributions and variational problems, in: Sovrem. Probl. Mat. Fund. Napravl. 16, VINITI, Moscow 1987, 5-85 (in Russian).
Annales Polonici Mathematici
1991/55/1
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Pages:
65-73
Main language of publication
English
Received
1990-09-12
Published
1991
Exact and natural sciences