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In this paper, we introduce the notion of $$*$$ ∗ -slant submanifold as that slant submanifold whose second fundamental form satisfies the equality case of an inequality between its mean… Click to show full abstract
In this paper, we introduce the notion of $$*$$ ∗ -slant submanifold as that slant submanifold whose second fundamental form satisfies the equality case of an inequality between its mean curvature and its scalar curvature. In addition to that, we give several interesting examples about these submanifolds. Finally, we obtain the Ricci curvature for a $$*$$ ∗ -slant submanifold depending on the mean curvature vector and we give lower and upper bounds for the Ricci curvature.
Keywords:
new class;
slant submanifold;
slant submanifolds;
class slant;
curvature;
slant
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!