Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On totally geodesic spheres in Grassmannians and $ {\rm O}(n)$

Author: Qi Ming Wang
Journal: Proc. Amer. Math. Soc. 108 (1990), 811-815
MSC: Primary 53C42; Secondary 55P42, 57T20
MathSciNet review: 994793
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It was shown in [5] that the generators of the homotopy groups of the stable orthogonal groups and the stable Grassmannians can be represented by embedded totally geodesic spheres of constant curvature. In this paper we prove that all elements of the above-mentioned homotopy groups can be represented by such spheres.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C42, 55P42, 57T20

Retrieve articles in all journals with MSC: 53C42, 55P42, 57T20

Additional Information

PII: S 0002-9939(1990)0994793-6
Keywords: Clifford modules, isoclinic spheres, KO groups, totally geodesic maps
Article copyright: © Copyright 1990 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia