Nonexistence of stable currents in submanifolds of a product of two spheres-Reference-Cited by-同舟云学术

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

Published:1991-10 Issue:2 Volume:44 Page:325-336
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Zhang Xue-shan

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. An application of integral currents to the vanishing theorems;Xin;Sci. Sinica Ser. A,1984

2. Normal and Integral Currents

3. On Stable Currents and Their Application to Global Problems in Real and Complex Geometry

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