Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 16, pp. 73-77 (2000)

On the prolongation of vertical connections

Ákos Gyôry

Tóth Árpád High School, 12 Szombathi I., H-4024 Debrecen, Hungary.

Abstract: With the help of a horizontal endomorphism we construct the Abate-Patrizio prolongation of a regular vertical connection, and show that the linear connection obtained coincides with the Grifone-prolongation.

Keywords: Horizontal endomorphisms, vertical connections, prolongation

Classification (MSC91): 53C05

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