A Recursive Basis for Primitive Forms in Symplectic Spaces and Applications to Heisenberg Groups

被引：7

作者：

Baldi, Annalisa ^{[1
]}

Barnabei, Marilena ^{[1
]}

Franchi, Bruno ^{[1
]}

机构：

[1] Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 03期

关键词：

Symplectic manifolds; differential forms; Heisenberg groups; combinatorial functions; DIFFERENTIAL FORMS; CONTACT MANIFOLDS; HODGE THEORY; COHOMOLOGY; SYSTEMS;

D O I：

10.1007/s10114-016-4620-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is divided in two parts: in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space (V-2n, omega). Successively, in Section 3, we apply our construction in the setting of Heisenberg groups H-n, n >= 1, to write in coordinates the exterior differential of the so-called Rumin's complex of differential forms in H-n.

引用

页码：265 / 285

页数：21

共 20 条

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