Invariant points of maps between Grassmannians
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- by Kalyan Mukherjea and Parameswaran Sankaran PDF
- Proc. Amer. Math. Soc. 124 (1996), 649-653 Request permission
Abstract:
We show that for a very large class of integers $l<k<n$ and any map $f\colon G_k(\mathbb R^n)\to G_l(\mathbb R^n)$ between Grassmannians, there is some $k$-plane of $\mathbb R^n$ which is mapped into a subspace of itself.References
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Additional Information
- Kalyan Mukherjea
- Affiliation: SPIC Science Foundation, 92 G. N. Chetty Road, T. Nagar, Madras 600017, India
- Email: kalyan@isical.ernet.in
- Parameswaran Sankaran
- Affiliation: SPIC Science Foundation, 92 G. N. Chetty Road, T. Nagar, Madras 600017, India
- Email: sankaran@ssf.ernet.in
- Received by editor(s): April 5, 1994
- Received by editor(s) in revised form: September 21, 1994
- Communicated by: Thomas Goodwillie
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 649-653
- MSC (1991): Primary 55M20, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-96-03152-8
- MathSciNet review: 1301041