Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RICCI CURVATURE OF SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE

  • Liu, Ximin (Department of Mathematics, Rutgers University) ;
  • Dai, Wanji (Department of Applied Mathematics, Dalian University of Technology)
  • Published : 2002.10.01

Abstract

Recently, Chen establishes sharp relationship between the k-Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. In this paper, we establish sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in quaternion projective spaces.

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References

  1. Arch. Math v.60 Some pinching and classification theorems for minimal submanifolds B.Y. Chen https://doi.org/10.1007/BF01236084
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Cited by

  1. On Chen invariants and inequalities in quaternionic geometry vol.2013, pp.1, 2013, https://doi.org/10.1186/1029-242X-2013-66