Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 410-414.

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A Note on Totally Real Riemannian Foliations with Parallelized Mean Curvature Vectors in a Complex Projective Space

  

  1. Department of Mathematics and Physics, North China Electric Power University

  • Received:2008-09-03 Online:2011-09-30 Published:2023-04-21
  • About author:PENG Hui-chun(1971-), female, native of Qingdao, Shandong, an associate professor of North China Electric Power University, engages in differential geometry.

Abstract: We discussed a totally real Riemannian foliations with parallel mean curvature on a complex projective space. We carried out the divergence of a vector field on it and obtained a formula of Simons’type.

Key words: Riemannian foliations, complex projective space, mean curvature, divergence

CLC Number: