Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE

  • CHOE, YEONG-WU (DEPARTMENT OF MATHEMATICS, COLLEGE OF SCIENCES, CATHOLIC UNIVERSITY OF DAEGU) ;
  • JEONG, IMSOON (DEPARTMENT OF MATHEMATICS, COLLEGE OF SCIENCES, CATHOLIC UNIVERSITY OF DAEGU)
  • Published : 2005.05.01
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Abstract

For a compact and orientable minimal real hypersurface $M\;in\;QP^n$, we prove that if the minimum of the sectional curvatures of Mis 3/(4n - 1), then M is isometric to the geodesic minimal hypersphere $M_{0,n-1}^Q$.

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References

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