Abstract:
A new method of proving the global minimality of closed submanifolds in Riemannian spaces, a development of the calibration method of Harvey and Lawson, is worked out. A criterion for global minimality of currents in compact homogeneous spaces is proved, and it is used to construct series of specific examples and prove a theorem about certain types of globally minimal surfaces in homogeneous spaces.
Bibliography: 10 titles.
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