Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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CERTAIN CLASS OF QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC SPACE FORM

  • Kim, Hyang Sook (Department of Applied Mathematics, Institute of Basic Science, Inje University) ;
  • Pak, Jin Suk (Kyungpook National University)
  • Received : 2013.03.05
  • Accepted : 2013.04.24
  • Published : 2013.06.25
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Abstract

In this paper we determine certain class of $n$-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form, that is, a quaternionic K$\ddot{a}$hler manifold of constant Q-sectional curvature under the conditions (3.1) concerning with the second fundamental form and the induced almost contact 3-structure.

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References

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