Bi-Legendrian connections

• Autorzy: Beniamino Cappelletti Montano
• Języki publikacji: EN

Abstrakty

EN

We define the concept of a bi-Legendrian connection associated to a bi-Legendrian structure on an almost 𝒮-manifold $M^{2n+r}$. Among other things, we compute the torsion of this connection and prove that the curvature vanishes along the leaves of the bi-Legendrian structure. Moreover, we prove that if the bi-Legendrian connection is flat, then the bi-Legendrian structure is locally equivalent to the standard structure on $ℝ^{2n+r}$.

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)
• 57R30: Foliations; geometric theory
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53B05: Linear and affine connections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 1
• Strony: 79-95

Daty

wydano

2005

Twórcy

autor

Beniamino Cappelletti Montano

• Department of Mathematics, University of Bari, via E. Orabona, 4, 70125 Bari, Italy

Identyfikatory

DOI

10.4064/ap86-1-8