Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection [PDF]
Entropy, 2022 In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional ...
Simona Decu, Gabriel-Eduard Vîlcu
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Systematic Classification of Curvature and Feature Descriptor of 3D Shape and Its Application to “Complexity” Quantification Methods [PDF]
Entropy, 2023 Generative design is a system that automates part of the design process, but it cannot evaluate psychological issues related to shapes, such as “beauty” and “liking”. Designers therefore evaluate and choose the generated shapes based on their experience.
Kazuma Matsuyama +2 more
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Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms [PDF]
Entropy, 2018 In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Further,
Ali H. Alkhaldi +3 more
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Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature [PDF]
Entropy, 2018 In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu +3 more
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Casorati Inequalities for Submanifolds in a Riemannian Manifold of Quasi-Constant Curvature With a Semi-Symmetric Metric Connection [PDF]
Symmetry, 2016 By using new algebraic techniques, two Casorati inequalities are established for submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection, which generalize inequalities obtained by Lee et al. J. Inequal. Appl. 2014, 2014, 327.
Zhang, Pan, Zhang, Liang
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Optimal Inequalities for the Casorati Curvatures of Submanifolds in Generalized Space Forms Endowed With Semi-Symmetric Non-Metric Connections [PDF]
Symmetry, 2016 In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and the extrinsic Casorati curvature of submanifolds in a generalized complex space form with a semi-symmetric non-metric connection and a generalized Sasakian space form with a semi-symmetric non-metric connection.
Hairong Liu, Guoqing He
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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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Pinching Theorems for a Vanishing C-Bochner Curvature Tensor
Mathematics, 2018 The main purpose of this article is to construct inequalities between a main intrinsic invariant (the normalized scalar curvature) and an extrinsic invariant (the Casorati curvature) for some submanifolds in a Sasakian manifold with a zero C-Bochner ...
Jae Won Lee, Chul Woo Lee
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Mathematics, 2022 In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
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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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