In this paper, we define and study the geometry of semi-slant submanifolds of an almost paracontact metric manifold. We give some characterizations for a submanifold to be semi-slant submanifold to be semi-slant product and obtain integrability conditions for the distributions involved in the definition of a semi-slant submanifold.

Keywords:

paracontact metric manifold, slant distribution, semi-slant submanifold, semi-slant product paracontact metric manifold, slant distribution, semi-slant submanifold, semi-slant product

MSC Classifications:

53C15, 53C25, 53C40 show english descriptions General geometric structures on manifolds (almost complex, almost product structures, etc.)
Special Riemannian manifolds (Einstein, Sasakian, etc.)
Global submanifolds [See also 53B25] 53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C40 - Global submanifolds [See also 53B25]

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