Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SLANT SUBMANIFOLDS OF AN ALMOST PRODUCT RIEMANNIAN MANIFOLD

  • Sahin Bayram (Department of Mathematics Faculty of Science and Art Inonu University)
  • Published : 2006.07.01
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Abstract

In this paper, we study both slant 3nd semi-slant sub-manifolds of an almost product Riemannian manifold. We give characterization theorems for slant and semi-slant submanifolds and investigate special class of slant submanifolds which are product version of Kaehlerian slant submanifold. We also obtain integrability conditions for the distributions which are involved in the definition of a semi-slant submanifold. Finally, we prove a theorem on the geometry of leaves of distributions under a condition.

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References

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Cited by

  1. Slant Submanifolds of Para-Hermitian Manifolds vol.14, pp.5, 2017, https://doi.org/10.1007/s00009-017-1018-3
  2. Warped product semi-slant submanifolds of a locally product Riemannian manifold vol.46, pp.2, 2009, https://doi.org/10.1556/SScMath.46.2009.2.1086
  3. Semi-Slant Submersions from Almost Product Riemannian Manifolds vol.49, pp.3, 2016, https://doi.org/10.1515/dema-2016-0029
  4. Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds vol.2018, pp.2314-8888, 2018, https://doi.org/10.1155/2018/2864263