BI-LEGENDRIAN STRUCTURES AND PARACONTACT GEOMETRY

被引：18

作者：

Cappelletti Montano, Beniamino ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2009年 / 6卷 / 03期

关键词：

Bi-Legendrian manifolds; Legendrian foliations; paracontact manifolds; para-Sasakian structure; Tanaka-Webster connection; paracontact connection; bi-Legendrian connection; contact metric (kappa; mu)-spaces; Anosov flows; unit cotangent bundle; EHRESMANN CONNECTIONS; METRIC MANIFOLDS; CONTACT;

D O I：

10.1142/S0219887809003631

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the interplays between paracontact geometry and the theory of bi-Legendrian manifolds. We interpret the bi-Legendrian connection of a bi-Legendrian manifold M as the paracontact connection of a canonical paracontact structure induced on M and then we discuss many consequences of that result both for bi-Legendrian and for paracontact manifolds, as a classification of paracontact metric structures. Finally new classes of examples of paracontact manifolds are presented.

引用

页码：487 / 504

页数：18

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