Fixed points of rotations of n-sphere

We show that every rotation of an even-dimensional sphere must have a fixed point.

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Bibliographic Details
Main Author: Nagabhushana Prabhu
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299222211
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author Nagabhushana Prabhu
author_facet Nagabhushana Prabhu
author_sort Nagabhushana Prabhu
collection DOAJ
description We show that every rotation of an even-dimensional sphere must have a fixed point.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1999-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-9bce361cdcd743ec8e4789c91a96c3382025-08-20T03:36:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122122122210.1155/S0161171299222211Fixed points of rotations of n-sphereNagabhushana Prabhu0Purdue University, Grissom Hall, West Lafayette 47907, IN, USAWe show that every rotation of an even-dimensional sphere must have a fixed point.http://dx.doi.org/10.1155/S0161171299222211Fixed pointeigenvalue.
spellingShingle Nagabhushana Prabhu
Fixed points of rotations of n-sphere
International Journal of Mathematics and Mathematical Sciences
Fixed point
eigenvalue.
title Fixed points of rotations of n-sphere
title_full Fixed points of rotations of n-sphere
title_fullStr Fixed points of rotations of n-sphere
title_full_unstemmed Fixed points of rotations of n-sphere
title_short Fixed points of rotations of n-sphere
title_sort fixed points of rotations of n sphere
topic Fixed point
eigenvalue.
url http://dx.doi.org/10.1155/S0161171299222211
work_keys_str_mv AT nagabhushanaprabhu fixedpointsofrotationsofnsphere