The purpose of this paper is to provide the complete classifications of the second fundamental form inequality for a warped product pointwise semi-slant submanifold in a Kaehler manifold which was obtained by Sahin [Th. 5.2, Warped product pointwise semi-slant submanifold of Kaehler manifold, Port. Math. 2013] in terms of intrinsic and extrinsic invariants. In this paper, we give some conditions that are not addressed or considered in the cited paper mentioned above. Finally, we provide necessary and sufficient conditions that satisfy inequalities' equalities.
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Princess Nourah bint Abdulrahman Univ, Dept Math Sci, Fac Sci, Riyadh 11546, Saudi ArabiaPrincess Nourah bint Abdulrahman Univ, Dept Math Sci, Fac Sci, Riyadh 11546, Saudi Arabia
Mofarreh, Fatemah
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Lee, Jae Won
Ali, Akram
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Dept Math King Khalid Univ, Abha, Saudi ArabiaPrincess Nourah bint Abdulrahman Univ, Dept Math Sci, Fac Sci, Riyadh 11546, Saudi Arabia
Ali, Akram
Atceken, Mehmet
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Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-06100 Tokat, TurkiyePrincess Nourah bint Abdulrahman Univ, Dept Math Sci, Fac Sci, Riyadh 11546, Saudi Arabia
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Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia
Khan, Meraj Ali
Ozel, Cenap
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia
Ozel, Cenap
Al-Dayel, Ibrahim
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Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia
Al-Dayel, Ibrahim
Chaubey, Sudhakar Kumar
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Univ Technol & Appl Sci Shinas, Coll Comp & Informat Sci, Dept Informat Technol, Sect Math, Shinas, OmanImam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia