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Totally Real 2-Harmonic Submanifolds ofLocally Symmetric BochnerKaehler Manifold

ZHOU Jundong   

  1. Department of Mathematics, Fuyang Normal College, Fuyang 236041, Anhui Province, China
  • Received:2007-12-07 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
  • Contact: ZHOU Jundong

Abstract: We studied totally real 2-harmonic submanifolds by moving frame, obtained two pinching theorems. We have discovered that there are no compact totally real 2-harmonic submanifolds with parallel mean curvature and positive curvature in a locally symmetric BochnerKaehler manifold.

Key words: totally real submanifold, 2-harmonic, holomorphic se ctional curvature

CLC Number: 

  • O186.12