Rate of Entropy Production in Evolving Interfaces and Membranes under Astigmatic Kinematics: Shape Evolution in Geometric-Dissipation Landscapes [PDF]
Entropy, 2020 This paper presents theory and simulation of viscous dissipation in evolving interfaces and membranes under kinematic conditions, known as astigmatic flow, ubiquitous during growth processes in nature. The essential aim is to characterize and explain the
Ziheng Wang +2 more
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Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures
Mediterranean Journal of Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MURATHAN, CENGİZHAN +2 more
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Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms [PDF]
Journal of Inequalities and Applications, 2014 Abstract In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.
Slesar, Vladimir +2 more
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Filomat, 2017 In the present paper, we prove the inequality between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for the submanifolds of locally conformal Kaehler space form and also consider the equality case of the inequality.
Mehraj Lone
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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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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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A new proof for some optimal inequalities involving generalized normalized δ-Casorati curvatures [PDF]
Journal of Inequalities and Applications, 2015 Let \(M\) be an \(n\)-dimensional Riemannian submanifold of a Riemannian manifold \((\bar{M},\bar{g})\). Then it is known that the Casorati curvature of \(M\) is an extrinsic invariant defined as the normalized square of the length of the second fundamental form \(h\) of the submanifold (of dimension \(n\)).
Lee, Chul Woo +2 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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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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Some Optimal Bounds for δ-Casorati Curvatures with Slant Factor in Trans-Sasakian Manifolds
MathematicsIn this article, we derive some optimal inequalities for slant submanifolds on trans-Sasakian manifolds coupled with quarter-symmetric non-metric connection (qsnmc), utilizing generalized normalized δ-Casorati curvatures.
Rawan Bossly
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