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Slant Submanifolds of an Almost Product Riemannian Manifold
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Abstract
In this paper, we study both slant and semi-slant submanifolds ofan almost product Riemannian manifold. We give characterizationtheorems for slant and semi-slant submanifolds and investigatespecial class of slant submanifolds which are product version ofKaehlerian slant submanifold. We also obtain integrabilityconditions for the distributions which are involved in thedefinition of a semi-slant submanifold. Finally, we prove atheorem on the geometry of leaves of distributions under acondition.
참고문헌 (8)
- "Slant submanifolds in Sasakian manifolds", 42(1), pp.125~138 (2000)
- "Semi-slant submanifolds of a Sasakian manifold", 78(2), pp.183~199 (1999)
- "Slant immersions", 41(1), pp.135~ (1990)
- "Slant submanifolds in contactgeometry", 39, pp.183~198 (1996)
- "Three-dimensional slant submanifolds ofK-contact manifolds", 3(1), pp.37~51 (1998)
- "Semi-slant submanifolds of aKaehlerian manifold", 40(1), pp.55~ (1994)
- "Semi-invariantsubmanifolds of Riemannian product manifold", 8(1), pp.91~100 (2003)
- "Structures on manifolds" (1984), World Scientific Publishing Co.
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