Results 21 to 30 of about 23,555 (114)
Curvature Bounds and Casorati Pinching for Submanifolds in Kähler Product Manifolds
AxiomsIn this paper, we establish sharp pinching inequalities that relate the generalized δ-Casorati curvatures to the normalized scalar curvature of submanifolds immersed in Kähler product manifolds endowed with a quarter-symmetric metric connection.
Md Aquib +3 more
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Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms
Mathematics, 2022 The objective of the present article is to prove two geometric inequalities for submanifolds in S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati curvatures for bi-slant submanifolds in S-space forms and then we ...
Mohd Aquib +3 more
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Bounds for generalized normalized δ-Casorati curvatures for Bi-slant submanifolds in T-space forms
Filomat, 2018 In this paper, we prove the inequality between the generalized normalized ?-Casorati curvatures and the normalized scalar curvature for the bi-slant submanifolds in T-space forms and consider the equality case of the inequality. We also develop same results for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, slant ...
Mohd. Aquib
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Optimal inequalities for the normalizedδ-Casorati curvatures of submanifolds in Kenmotsu space forms
Advances in Geometry, 2017 AbstractIn this paper, we establish two sharp inequalities for the normalizedδ-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient space.Moreover, we show that in both cases the equality at all points characterizes the totally geodesic submanifolds.
Lee, Chul Woo +2 more
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Optimal Casorati Inequalities for Pointwise SlantRiemannian Maps
MathematicsWe establish optimal Casorati inequalities for pointwise slant Riemannian maps from Riemannian manifolds into generalized complex space forms and generalized Sasakian space forms.
Tanveer Fatima, Ibrahim Al-Dayel
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MathematicsWe establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed +2 more
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Bounds for generalized normalized δ-Casorati curvatures for submanifolds in Bochner Kaehler manifold
Filomat, 2018 In this paper, we prove sharp inequalities between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for different submanifolds in Bochner Kaehler manifold. Moreover, We also characterize submanifolds on which the equalities hold.
Aquib, Mohd., Shahid, Mohammad Hasan
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An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms
AxiomsIn this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
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Recent developments in δ-Casorati curvature invariants
TURKISH JOURNAL OF MATHEMATICS, 2021 One of the basic problems in submanifold theory is to find simple relationships between the main extrinsic and intrinsic invariants of a submanifold. In order to obtain viable solutions to this problem, the author introduced in the early 1990's new types of Riemannian invariants, known as \(\delta\)-invariants or Chen invariants.
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Tamkang Journal of Mathematics, 2021 The present research article is concerned about a couple of optimal inequalities for submanifolds of $\delta$-Lorentzian trans-Sasakian manifolds endowed with semi-symmetric metric connection (briefly says $SSM$). Some examples of $\delta$-Lorentzian trans-Sasakiam manifolds are also discussed here. This paper ends with some open problems.
Siddiqui, Aliya Naaz +2 more
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