Holomorphic non-holonomic differential systems on complex manifolds

• Autorzy: S. Dimiev
• Języki publikacji: EN

Abstrakty

EN

We study coherent subsheaves 𝓓 of the holomorphic tangent sheaf of a complex manifold. A description of the corresponding 𝓓-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.

Słowa kluczowe

EN

holomorphic tangent sheaf   𝓓-stable ideal   power 𝓓-expansion   involutive completion  

Kategorie tematyczne

• 32L05: Holomorphic bundles and generalizations
• 32B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 65-73

Daty

wydano

1991

otrzymano

1990-09-12

Twórcy

autor

S. Dimiev

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

Bibliografia

• [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).