Remark on invariant straight lines of some affine transformations in ℝ^n without fixed points

Erwin Kasparek

Published: 2005-09-30

Vol. 19 (2005)

Remark on invariant straight lines of some affine transformations in ℝ^n without fixed points

Erwin Kasparek

Abstract

In this note we show that every affine transformation in the Euclidean space ℝⁿ, which has no fixed points and fulfils the inequality |f(x)f(y)| ≤ |xy| for any x and y has invariant straight line.

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Kasparek, E. (2005). Remark on invariant straight lines of some affine transformations in ℝ^n without fixed points. Annales Mathematicae Silesianae, 19, 19–21. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14080

Vol. 19 (2005)
Published: 2005-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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