Semi-parallel and parallel symplectic surfaces in the four-dimensional symplectic space

Authors

  • Aivo Parring University of Tartu

DOI:

https://doi.org/10.12697/ACUTM.2000.04.04

Keywords:

symplectic space, parallel and semi-parallel symplectic surfaces

Abstract

Parallel and semi-parallel symplectic surfaces in the symplectic space Sp4 are studied. It is proved that a symplectic surface is semi-parallel if and only if its tangent connection is flat. The parallel symplectic surfaces are characterized and the existence of semi-parallel symplectic surfaces which are not parallel is exhibited. The study is conducted by the method of moving frame.

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Author Biography

Aivo Parring, University of Tartu

Institute of Pure Mathematics

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Published

2000-12-31

Issue

Section

Articles