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The structure Jacobi Operator on real hypersurfaces in a nonflat complex space form

김수진|이성백|기우항
대한수학회 (The Korean Mathematical Society)|2005.05|대한수학회보 (Bulletin of the KMS)|제42권 제2호|pp. 337-358

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Abstract

Let M be a real hypersurface with almost contactmetric structure (phi, xi, eta, g)in a nonflat complex space formM_n(c). In this paper, we prove that if the structure Jacobioperator R_xi commutes with both the structure tensor phiand the Ricc tensor S, then M is a Hopf hypersurface inM_n(c) provided that the mean curvature of M is constant org(Sxi, xi) is constant.

참고문헌 (17)

  1. "J. Berndt \paper Real hypersurfaces with constantprincipal curvatures in a complex hyperbolic space \jour J. ReineAgnew. Math. \vol 395 \yr 1989 \pages 132--141"
  2. "T. E. Cecil and P. J. Ryan \paper Focal sets andreal hypersurfaces in complex projective space \jour Trans. Amer.Math. Soc. \vol 269 \yr 1982 \pages 481--499"
  3. "\paper Real hypersurfacesof a complex projective space in terms of the Jacobi operators", 809, pp.155~167 (1998)
  4. "4 \bysame \paper Jacobi operators on real hypersurfacesof a complex projective space \jour Tsukuba J. Math. \vol 22 \yr1998 \pages 145--156", 22, pp.145~156 (1998)
  5. "and A.-A. Lee \paper TheJacobi operator of real hypersurfaces in a complex space form\jour Comm. Korean Math. Soc. \vol 13 \yr 1998 \pages 545--560"
  6. "and S.-B. Lee \paper Somecharacterizations of a real hypersurfaces of type A \jourKyungpook Math. J. \vol 31 \yr 1991 \pages 73--82"
  7. "paper On realhypersurfaces of a complex space form in terms of Jacobi operators", 13, pp.317~336 (1998)
  8. "paper Jacobi operators on asemi-invariant submanifold of codimension 3 in a complexprojective space \jour Nihonkai Math. J. \vol 14 \yr 2003 \pages1--16", 14, pp.1~16
  9. "U.-H. Ki and Y. J. Suh \paper On realhypersurfaces of a complex space form \jour Math. J. OkayamaUniv.\vol 32 \yr 1990 \pages 207--221"
  10. "M. Kimura \paper Real hypersurfaces and complexsubmanifolds in complex projective space \jour Trans. Amer. Math.Soc. \vol 296 \yr 1986 \pages 137--149"
  11. "aper Lie derivatives onreal hypersurfaces in a complex projective space", 45(1995), pp.135~148
  12. "S. Montiel \paper Real hypersurfaces of a complexhyperbolic space \jour J. Math. Soc. Japan \vol 37 \yr 1985 pages 515--535"
  13. "S. Montiel and A. Romero \paper On some realhypersurfaces of a complex hyperbolic space \jour GeometriaeDedicata \vol 20 \yr 1986 \pages 245--261"
  14. "\paper Realhypersurfaces in complex space forms", 233(305)
  15. "M. Okumura \paper On some real hypersurfaces of acomplex projective space \jour Trans. Amer. Math. Soc. \vol 212\yr 1975 \pages 355--364"
  16. "R. Takagi \paper On homogeneous realhypersurfaces in a complex projective space \jour Osaka J. Math.\vol 10 \yr 1973 \pages 495--506"
  17. "bysame \paper Real hypersurfaces in a complexprojective space with constant principal curvatures I", pp.507~

관련 논문AI추천

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