TITLE:
Connections with Symplectic Structures
AUTHORS:
A. K. M. Nazimuddin, Md. Showkat Ali
KEYWORDS:
Connection, Differential Geometry, Symplectic Geometry
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.4,
December
21,
2016
ABSTRACT: A
charming feature of symplectic geometry is that it is at the crossroad of many
other mathematical disciplines. In this article we review the basic notions
with examples of symplectic structures and show the connections of symplectic
geometry with the various branches of differential geometry using important
theorems.