In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N-T x(lambda) N-T such that N-T is an anti-invariant submanifold tangent to V and N-T an invariant submanifold of <(M)overbar)>, other than GCR-lightlike product in an indefinite Kenmotsu manifold. We also obtain some characterizations for a GCR-lightlike submanifold to be locally a GCR-lightlike warped product.
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Sri Guru Teg Bahadur Khalsa Coll, Dept Math, Sri Anandpur Sahib 140118, Punjab, IndiaSri Guru Teg Bahadur Khalsa Coll, Dept Math, Sri Anandpur Sahib 140118, Punjab, India
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King Abdulaziz Univ, Dept Math, Coll Sci, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Coll Sci, Jeddah 21589, Saudi Arabia
Khan, Viqar Azam
Khan, Khalid Ali
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Charles Darwin Univ, Fac Technol, Sch Engn & Logist, Darwin, NT 0909, AustraliaKing Abdulaziz Univ, Dept Math, Coll Sci, Jeddah 21589, Saudi Arabia
Khan, Khalid Ali
Siraj-Uddin
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Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, MalaysiaKing Abdulaziz Univ, Dept Math, Coll Sci, Jeddah 21589, Saudi Arabia
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Univ Kinshasa UNIKIN, Fac Sci, Dept Math & Informat, BP 190, Kinshasa, DEM REP CONGOUniv Kinshasa UNIKIN, Fac Sci, Dept Math & Informat, BP 190, Kinshasa, DEM REP CONGO
Lungiambudila, Oscar
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Massamba, Fortune
Tossa, Joel
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Univ Abomey Calavi, Inst Math & Sci Phys, 01 BP 613, Porto Novo, BeninUniv Kinshasa UNIKIN, Fac Sci, Dept Math & Informat, BP 190, Kinshasa, DEM REP CONGO