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

 

The Pontryagin $4$-form


Authors: Jiri Dadok and Reese Harvey
Journal: Proc. Amer. Math. Soc. 127 (1999), 3175-3180
MSC (1991): Primary 49Q05, 53C35, 15A42
Published electronically: July 12, 1999
MathSciNet review: 1690980
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Abstract: The unit $4$-planes on which the first Pontryagin form of the Grassmann manifolds achieves its maximum are determined. This is a shorter and unified proof of results first obtained in 1995 by H. Gluck et al. and in 1998 by W. Gu.


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Additional Information

Jiri Dadok
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: dadok@hamlet.usc.indiana.edu

Reese Harvey
Affiliation: Department of Mathematics, Rice University, Houston, Texas 77251
Email: harvey@math.rice.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05443-X
PII: S 0002-9939(99)05443-X
Received by editor(s): November 24, 1997
Published electronically: July 12, 1999
Communicated by: Christopher Croke
Article copyright: © Copyright 1999 American Mathematical Society