Uniqueness of volume-minimizing submanifolds calibrated by the first Pontryagin form
نویسندگان
چکیده
منابع مشابه
Uniqueness of Volume-minimizing Submanifolds Calibrated by the First Pontryagin Form
One way to understand the geometry of the real Grassmann manifold Gk(R k+n) parameterizing oriented k-dimensional subspaces of Rk+n is to understand the volume-minimizing subvarieties in each homology class. Some of these subvarieties can be determined by using a calibration. In previous work, one of the authors calculated the set of 4-planes calibrated by the first Pontryagin form p1 on Gk(R k...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2001
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-01-02783-0