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ON CONTACT SLANT SUB MANIFOLD OF L × f F

  • Sohn, Won-Ho (Department of Mathematics Pusan University of Foreign Studies)
  • Published : 2004.01.01

Abstract

It is well known that the warped product $L\;{\times}\;{_f}\;F$ of a line L and a Kaehler manifold F is an almost contact Riemannian manifold which is characterized by some tensor equations appeared in (1.7) and (1.8). In this paper we determine contact slant submanifolds tangent to the structure vector field of $L\;{\times}\;{_f}\;F$.

Keywords

References

  1. Riemanian geometry of contact and symplectic manifolds D.E.Blair
  2. Riemannian submanifolds and slant submanifolds J.L.Cabrerizo;A.Carriazo;L.M.Fernandez;M.Fernandez
  3. Glasgow Math. J v.42 Slant submanifolds in Sasakian manifolds J.L.Cabrerizo https://doi.org/10.1017/S0017089500010156
  4. Katholieke Universiteit Leuven Geometry of Slant Submanifolds B.Y.Chen
  5. Amer. J. Math. v.105 Minimal surfaces by moving frames S.S.Chern;J.G.Wolfson https://doi.org/10.2307/2374381
  6. On submanifolds of $L ×_fF$ satisfying Chen's Basic equality S.Funabashi;J.S.Park;Y.M.Kim
  7. Tohoku Math. J. v.24 A class of almost contact Riemanian manifolds K.Kenmotsu
  8. J. Korean Math. Soc. v.39 no.5 On Ricci curvature of submanifolds in the warped product $L ×_fF$ Y.M.Kim;J.S.Pak https://doi.org/10.4134/JKMS.2002.39.5.693
  9. Lecture Note, Tohoku Univ. Almost contact manifolds S.Sasaki
  10. Structure on Manifolds Series in Pure Mathematics 3 K.Yano;M.Kon