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$QR$-submanifolds of maximal $QR$-dimension in quaternionic projective space

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Abstract

The purpose of this paper is to study n-dimensionalQR-submanifolds of maximal QR-dimension isometrically immersedin a quaternionic projective space and to give sufficientconditions in order for such a submanifold to be a tube over aquaternionic invariant submanifold.

참고문헌 (12)

  1. "Bejancu\book Geometry of $CR$-submanifolds\publ D", Reidel Publishing Company\publaddr Dordrecht
  2. "\vol 419 \yr1991 \page 9--26 ref key 3 by B Chen book Geometry of submanifolds publ Marcel Dekker Inc"
  3. "Opaper Certain application of an integral formula to $CR$ submanifold of complex projective space", 62, pp.213~215 (2003)
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  5. "Kuo \paper On almost contact 3-structure\jour Tohoku Math"
  6. "Pak \paper Codimensionreduction for real submanifolds of quaternionic projective space\", .36, pp.109~123 (1999)
  7. "\paper Scalar curvature of $QR$-submanifoldsimmersed in a quaternionic projective space", 17, pp.47~57
  8. "bysame \paper $QR$-submanifolds of $ $$QR$-dimension in a quaternionic projective space $QP^{", 86, pp.89~116
  9. "Pak \paper Real hypersurfaces inquaternionic Kaehlerian manifolds with constant $Q$-sectionalcurvature \jour Kodai Math"
  10. "Ryan \paper Homogeneity and some curvaturecondition for hypersurfaces \jour Tohoku Math", 21 \yr 1969\page 363--388
  11. "Shibuya \paper Real submanifolds in aquaternionic projective space \jour Kodai Math", 1 \yr 1978\page 421--439
  12. "Yano \paper On harmonic and Killing vectorfields \jour Ann"

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