ON 5-MANIFOLDS ADMITTING RANK TWO DISTRIBUTIONS OF CARTAN TYPE

被引：6

作者：

Dave, Shantanu ^{[1
]}

Haller, Stefan ^{[2
,3
]}

机构：

[1] Univ Vienna, Wolfgang Pauli Inst, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[3] Univ Vienna, Dept Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 07期

基金：

奥地利科学基金会;

关键词：

Rank two distributions of Cartan type in dimension five; parabolic geometry; h-principle; mod; 2; index; Lutz-Martinez theorem; OVERTWISTED CONTACT STRUCTURES; VECTOR-FIELDS; CLASSIFICATION; EXISTENCE;

D O I：

10.1090/tran/7495

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the question whether an orientable 5-manifold can be equipped with a rank two distribution of Cartan type and what 2-plane bundles can be realized. We obtain a complete answer for open manifolds. In the closed case, we settle the topological part of this problem and present partial results concerning its geometric aspects and new examples.

引用

页码：4911 / 4929

页数：19

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