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The books contains the research work of the author. In the book, the author has proved some important results on Ricci curvature and scalar curvature of different submanifolds and ambient spaces. Also, the author obtain the bounds for these curvatures using Casorati curvatures. The author has proved some results on warped product submanifolds of Bochner-kaehler manifolds. In the last chapter, hemi-slant submanifolds of nearly Kaehler and cosymplectic manifolds are discussed.