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Nonexistence of stable currents in submanifolds of a product of two spheres

Published online by Cambridge University Press:  17 April 2009

Xue-shan Zhang
Xue-shan Zhang
Affiliation:
Department of Mathematics, Xian Institute of Metallurgy and Construction Engineering, Xian 710055, Peoples Republic of China
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Abstract

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By using techniques of the calculus of variations in geometric measure theory, we investigate the nonexistence of stable integral currents in Sn1 × Sn2 and its immersed submanifolds. Several vanishing theorems concerning the homology group of these manifolds are established.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 325 - 336
Copyright
Copyright © Australian Mathematical Society 1991

References

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