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On contact slant submanifold of $L \times_{f} F$

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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 contactRiemannian manifold which is characterized by some tensorequations appeared in (1.7) and (1.8). In this paper we determinecontact slant submanifolds tangent to the structure vector fieldof L times_{f} F.

참고문헌 (9)

  1. "Riemannian geometry of contact and symplectic manifolds" (2002)
  2. "Riemannian submanifolds and slant submanifolds"
  3. "Slant submanifolds in Sasakian manifolds", 42, pp.125~138 (2000)
  4. "B. Y. Chen \book Geometry of Slant Submanifolds \publ Katholieke Universiteit Leuven \publaddr \yr 1990"
  5. "S. S. Chern and J. G. Wolfson \paper Minimalsurfaces by moving frames \jour Amer. J. Math. \vol 105 \yr 1983 \page 59--83"
  6. "On submanifolds of $L \times_{f} F$ satisfying Chen's basic equality"
  7. "K. Kenmotsu \paper A class of almost contactRiemannian manifolds \jour Tohoku Math. J. \vol 24 \yr 1972 page 93--103"
  8. "On Ricci curvature of submanifolds in the warped product $L \times_{f} F$", 39, pp.693~708 (2002)
  9. "K. Yano and M. Kon \book Structure on Manifolds\publ Series in Pure Mathematics 3 \publaddr World Scientific"

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