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Periodica Mathematica Hungarica

, Volume 22, Issue 2, pp 107–113 | Cite as

Some properties of associated pseudoconnections

  • Z. Kovács
Article

Abstract

Pseudoconnections (or quasi connections) were defined as a generalization of linear connections by Y.-C. Wong in [14], and were developed mainly by Italian and Rumanian mathematicians.

The purpose of this paper is to study some properties of a special type of pseudoconnections: the so-called associated pseudoconnections oginirating from linear connections in a very simple manner. In §1 we give a necessary and sufficient condition for a pseudoconnection to be associated, the in §2 we study the geodesics of an associated pseudoconnection. This notion has an immediate application in Finsler geometry, this is the theme of §3. Some questions connecting the curvature of associated pseudoconnections were studied by the author in [7].

Keywords

Simple Manner Linear Connection 
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Copyright information

© Akadémiai Kiadó 1991

Authors and Affiliations

  • Z. Kovács
    • 1
  1. 1.Bessenyei György Tanítóképző Matematika TanszékNyiregyházaHungary

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