ArticleOriginal scientific text

Title

Totally real minimal submanifolds in a quaternion projective space

Authors 1, 2

Affiliations

  1. Department of Mathematics, Nankai University, Tianjin 300071, P.R. China
  2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China

Abstract

We prove some pinching theorems with respect to the scalar curvature of 4-dimensional conformally flat (concircularly flat, quasi-conformally flat) totally real minimal submanifolds in QP⁴(c).

Keywords

totally real submanifold, quaternion projective space, curvature pinching

Bibliography

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  5. K. Yano, Concircular geometry I, Proc. Imp. Acad. Sci. Japan Tokyo 16 (1940), 195-200.
  6. K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J. Differential Geom. 2 (1968), 161-184.
Pages:
31-36
Main language of publication
English
Received
1997-01-06
Published
1998
Exact and natural sciences