Abstract
An isometric immersion of a Riemannian manifold into a Kählerian manifold is called slant if it has a constant Wirtinger angle. A slant submanifold is called Kählerian slant if its canonical structure is parallel. In this article, we prove a general inequality relating the mean and scalar curvatures of Kählerian slant submanifolds in a complex space form. We also classify Kählerian slant submanifolds which satisfy the equality case of the inequality. Several related results on slant submanifolds are also proved.
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Chen, BY. A General Inequality for Kählerian Slant Submanifolds and Related Results. Geometriae Dedicata 85, 253–271 (2001). https://doi.org/10.1023/A:1010361305993
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DOI: https://doi.org/10.1023/A:1010361305993