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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