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Corrrection of the proof of lemma 7 of the paper " Horizontal extension of connections into (2)-connections", Demonstratio Math. XXXVII (4) (2004), 963-975

Doupovec M., Mikulski W.

Demonstratio Mathematica

2006

Vol. 39, nr 3

729-730

We correct the mistake in the proof of Lemma 7 in our paper "Horizontal extension of connections into (2)-connections" published in Demonstratio Math. XXXVII (4) (2004).

Horizontal extension of connections into (2)-connections

Doupovec M., Mikulski W. M.

Demonstratio Mathematica

2004

Vol. 37, nr 4

963--975

We discuss the prolongation of connections to to some non product preserving bundles. We introduce the concept of (r)-connection on a fibered manifold Y and for a given connection F on Y we construct its horizontal extension F(2). We also prove that F(2 ) is the unique (2)-connection on Y canonically dependent on F.