Translator Disclaimer
december 2017 A note on nontrivial intersection for selfmaps of complex Grassmann manifolds
Thaís F. M. Monis, Northon C. L. Penteado, Sérgio T. Ura, Peter Wong
Bull. Belg. Math. Soc. Simon Stevin 24(4): 665-672 (december 2017). DOI: 10.36045/bbms/1515035015

Abstract

Let $G(k,n)$ be the complex Grassmann manifold of $k$-planes in $\mathbb C^{k+n}$. In this note, we show that for $1< k<n$ and for any selfmap $f:G(k,n)\to G(k,n)$, there exists a $k$-plane $V^k\in G(k,n)$ such that $f(V^k)\cap V^k\ne \{0\}$.

Citation

Download Citation

Thaís F. M. Monis. Northon C. L. Penteado. Sérgio T. Ura. Peter Wong. "A note on nontrivial intersection for selfmaps of complex Grassmann manifolds." Bull. Belg. Math. Soc. Simon Stevin 24 (4) 665 - 672, december 2017. https://doi.org/10.36045/bbms/1515035015

Information

Published: december 2017
First available in Project Euclid: 4 January 2018

zbMATH: 06848709
MathSciNet: MR3743270
Digital Object Identifier: 10.36045/bbms/1515035015

Subjects:
Primary: ‎55M20
Secondary: 57T15

Rights: Copyright © 2017 The Belgian Mathematical Society

JOURNAL ARTICLE
8 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.24 • No. 4 • december 2017
Back to Top