Paper The following article is Open access

The geometrical and Möbius-invariant properties of parabolic cycles

and

Published under licence by IOP Publishing Ltd
, , Citation Sneha Gupta and Debapriya Biswas 2023 J. Phys.: Conf. Ser. 2543 012001 DOI 10.1088/1742-6596/2543/1/012001

1742-6596/2543/1/012001

Abstract

We have studied parabolic cycles and given their equivalent matrix representations. Invariant properties of matrices under similarity have contributed to the Möbius-invariant properties in cycles. We have further discussed the inner product in the cycle space. Also, the geometrical properties of orthogonality and reflection have been studied to obtain the irregular points in the cycle space.

Export citation and abstract BibTeX RIS

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Please wait… references are loading.
10.1088/1742-6596/2543/1/012001