On a class of even-dimensional manifolds structured by an affine connection

I. Mihai, A. Oiagă and R. Rosca

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-6

Abstract:

We deal with a 2 m -dimensional Riemannian manifold ( M , g ) structured by an affine connection and a vector field 𝒯 , defining a 𝒯 -parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector field. Properties of the curvature 2 -forms are established. It is shown that M is endowed with a conformal symplectic structure Ω and 𝒯 defines a relative conformal transformation of Ω .

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/29/672036.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/29/672036.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:672036

DOI: 10.1155/S0161171202011390

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().