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SUBMANIFOLDS 2-HARMONICALLY AND ISOMETRICALLY IMMERSED IN A SPHERE

SUBMANIFOLDS 2-HARMONICALLY AND ISOMETRICALLY IMMERSED IN A SPHERE
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摘要 When M is compact, a 2-harmonic map f:M→N between Riemannian mani-folds is a critical map of 2-energy functional E2(f)=∫M‖(f)‖2*1. Its tension field(?)(f) is exactly the Jacobi field. When the target manifold N is a unit sphere Sm+P(m=dimM, p=codlin M), using the method of moving frames, we have studied the 2-harmonic isometric immersion f:M→Sm+p, and obtained the following results, in which ‖B(f)‖2 denotes the square norm of the second
作者 姜国英
出处 《Chinese Science Bulletin》 SCIE EI CAS 1986年第4期286-287,共2页
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