대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권1호
  • /
  • Pages.109-123
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

CODIMENSION REDUCTION FOR REAL SUBMANIFOLDS OF QUATERNIONIC PROJECTIVE SPACE

  • Kwon, Jung-Hwan (Department of Mathematics Education Taegu University) ;
  • Pak, Jin-Suk (Department of Mathematics Kyungpook National University)
  • 발행 : 1999.01.01
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초록

In this paper we prove a reduction theorem of the codimension for real submanifold of quaternionic projective space as a quaternionic analogue corresponding to those in Cecil [4], Erbacher [5] and Okumura [9], and apply the theorem to quaternionic CR- submanifold of quaternionic projective space.

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참고문헌

  1. Amer. Jour. Math. Soc. v.61 Rigidity for spaces of class greater than one C. B. Allendoerfer
  2. Kodai Math. J. v.4 Quaternion CR-submanifolds of a quaternion manifolds M. Barros;B. Y. Chen;F. Urbano
  3. Geometry of CR-submanifolds A. Bejancu
  4. Nagoya Math J. v.55 Geometric applications of critical point theory to submanifolds of complex projective space T. E. Cecil
  5. J. Diff. Geom. v.5 Reduction of the condimension of an isometric immersion J. Erbacher
  6. J. Diff. Geom. v.9 Quaternion Kaehlerian manifolds S. Ishihara
  7. Publication of the study group of geometry v.8 Differential geometry of fibred spaces S. Ishihara;M. Konishi
  8. QR-submanifolds of (p-1) QR-dimension in a quaternionic projective space $QR^{(n+p)/4}$ J.-H. Kwon;J. S. Pak
  9. Collo. Math. Janos Bolyai;Diff. Geom. v.56 Codimension reduction problem for real submanifold of complex projective space M. Okumura
  10. Kyungpook Math. J. v.18 Anti-quaternionic submanifolds of a quaternionic projective space J. S. Pak
  11. Kodai Math. J. v.1 Real aubmanifolds in a quaternionic projective space Y. Shibuya