The Pontryagin 4-form-Reference-Cited by-同舟云学术

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The Pontryagin 4-form

Published:1999-07-12 Issue:11 Volume:127 Page:3175-3180
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dadok Jiri,Harvey Reese

Abstract

The unit 4 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-11/S0002-9939-99-05443-X/S0002-9939-99-05443-X.pdf

Reference5 articles.

1. [DH] Jiri Dadok and Reese Harvey, Calibrations associated with triality algebras (in preparation).

2. Volume-minimizing cycles in Grassmann manifolds;Gluck, Herman;Duke Math. J.,1995

3. Calibrated geometries in Grassmann manifolds;Gluck, Herman;Comment. Math. Helv.,1989

4. The stable 4-dimensional geometry of the real Grassmann manifolds;Gu, Weiqing;Duke Math. J.,1998

5. Calibrated geometries;Harvey, Reese;Acta Math.,1982

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Area-Minimizing Cones Over Grassmannian Manifolds;The Journal of Geometric Analysis;2022-06-20

2. On the DDVV conjecture and the comass in calibrated geometry (I);Mathematische Zeitschrift;2007-11-17

3. Uniqueness of volume-minimizing submanifolds calibrated by the first Pontryagin form;Transactions of the American Mathematical Society;2001-06-14

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