• Bulletin of the Korean Mathematical Society
• /
• v.60 no.2
• /
• pp.325-338
• /
• 2023

In this paper, we derive a Reilly-type inequality for the Laplacian with density on weighted manifolds with boundary. As its applications, we obtain some new Poincaré-type inequalities not only on weighted manifolds, but more interestingly, also on their boundary. Furthermore, some mean-curvature type inequalities on the boundary are also given.

• Journal of applied mathematics & informatics
• /
• v.40 no.3_4
• /
• pp.587-601
• /
• 2022

We find the characterizations of the curvatures of Legendre curves and magnetic curves in Kenmotsu manifolds with C-parallel and C-proper mean curvature vector fields in the tangent and normal bundles. Finally, an illustrative example is presented.

• Bulletin of the Korean Mathematical Society
• /
• v.61 no.1
• /
• pp.29-44
• /
• 2024

In this paper we consider the existence of rotationally symmetric entire solutions for the prescribed higher mean curvature spacelike equations in Minkowski spacetime. As a first step, we study the associated 0-Dirichlet problems on a ball, and then we prove that all possible solutions can be extended to + ∞. The proof of our main results are based upon the topological degree methods and the standard prolongability theorem of ordinary differential equations.

• Journal of the Korea institute for structural maintenance and inspection
• /
• v.9 no.3
• /
• pp.195-202
• /
• 2005

This paper presents moment-curvature analytical method of concrete filled steel tubular members considering intensity increase phenomenon by triaxial compression stress generation. For this purpose, this study considers buckling characteristics about compression department of steel members that filled up light weight and normal concrete. The analytical results are compared with the test results. Even if beam that filled up light weight concrete was calculated moment-curvature relationship easily analytically and could know that analytical results estimates as well agreed with the test results in case filled up normal concrete. In addition, the efficiency and applicabilities of the proposed moment curvature relationship algorithm are verified through conventional experimental results.

• Proceedings of the KSRS Conference
• /
• 2008.10a
• /
• pp.159-162
• /
• 2008

This paper presents a modified mean curvature diffusion filter to smooth speckle noise in images. Mean curvature diffusion filter has already shown good results in reducing noise in images while preserving fine details. In the mean curvature diffusion, the rate of smoothing is controlled by the local value of the diffusion coefficient chosen to be a function of the local image gradient magnitude. In this paper, the diffusion coefficient is modified to be controlled adaptively by local image surface slope and heterogeneity. The local surface slope contributes to preserving details (e.g.edges) in image and the local surface heterogeneity helps the smoothing filter consider the amount of noise in both edge and non-edge area. The proposed filter's performance is demonstrated by quantitative experiments using speckle noised aerial image and TerraSAR-X satellite image.

• Transactions of Materials Processing
• /
• v.22 no.6
• /
• pp.310-316
• /
• 2013

Recently, numerical predictions of surface deflection based on curvature analysis have been developed. In the current study, a measure of surface deflection is proposed as the maximum variation of curvature difference between the panel and the tool in order to account for surfaces that have high curvature. The current study focused on the assessment of accuracy for the surface deflection prediction with the consideration of planar anisotropy. As an example, a shallow rectangular drawn part with rectangular embossing was considered. In terms of the proposed surface deflection measure, the maximum variation of curvature difference, the prediction with a planar anisotropic model shows better correspondence with experiment than the one using a normal anisotropic model.

• Bulletin of the Korean Mathematical Society
• /
• v.60 no.1
• /
• pp.33-46
• /
• 2023

Geodesic orbit spaces are homogeneous Finsler spaces whose geodesics are all orbits of one-parameter subgroups of isometries. Such Finsler spaces have vanishing S-curvature and hold the Bishop-Gromov volume comparison theorem. In this paper, we obtain a complete description of invariant (α₁, α₂)-metrics on spheres with vanishing S-curvature. Also, we give a description of invariant geodesic orbit (α₁, α₂)-metrics on spheres. We mainly show that a Sp(n + 1)-invariant (α₁, α2)-metric on S⁴ⁿ⁺³ = Sp(n + 1)/Sp(n) is geodesic orbit with respect to Sp(n + 1) if and only if it is Sp(n + 1)Sp(1)-invariant. As an interesting consequence, we find infinitely many Finsler spheres with vanishing S-curvature which are not geodesic orbit spaces.

• The Journal of Korean Physical Therapy
• /
• v.34 no.5
• /
• pp.272-277
• /
• 2022

Purpose: This study compared the subjective and objective sleep quality between subjects with and without thoracic hyper-kyphosis. Methods: Forty participants were divided into a hyper-kyphosis (n=17) and normal group (n=17) by thoracic spinal angle measurement. The subjective sleep quality was measured using PSQI, a self-report, and objective sleep quality was measured using an actigraphy that measures time according to sleep patterns. Results: The PSQI scores of subjects with thoracic hyper-kyphosis were significantly higher than those with normal thoracic curvature (p=0.013). The total sleep time and real sleep time were less in subjects with hyper-kyphosis than in normal subjects (p=0.006; p=0.029). The light sleep time was less in subjects with excessive spondylolisthesis than in normal subjects (p=0.010). Light sleep time was less in those with hyper-kyphosis, but deep sleep time was similar to the subjects with a normal thoracic curvature (p=0.003; p=0.140). Conclusion: Subjects with thoracic hyper-kyphosis had a decrease in subjective sleep quality, such as sleep discomfort, and objective sleep quality, such as a decrease in sleep time compared to normal subjects.

• Communications of the Korean Mathematical Society
• /
• v.35 no.4
• /
• pp.1269-1281
• /
• 2020

In this article, we show that a pseudo-Hermitian magnetic curve in a normal almost contact metric 3-manifold equipped with the canonical affine connection ${\hat{\nabla}}^t$ is a slant helix with pseudo-Hermitian curvature ${\hat{\kappa}}={\mid}q{\mid}\;sin\;{\theta}$ and pseudo-Hermitian torsion ${\hat{\tau}}=q\;cos\;{\theta}$. Moreover, we prove that every pseudo-Hermitian magnetic curve in normal almost contact metric 3-manifolds except quasi-Sasakian 3-manifolds is a slant helix as a Riemannian geometric sense. On the other hand we will show that a pseudo-Hermitian magnetic curve γ in a quasi-Sasakian 3-manifold M is a slant curve with curvature κ = |(t - α) cos θ + q| sin θ and torsion τ = α + {(t - α) cos θ + q} cos θ. These curves are not helices, in general. Note that if the ambient space M is an α-Sasakian 3-manifold, then γ is a slant helix.

• Fashion & Textile Research Journal
• /
• v.2 no.5
• /
• pp.383-390
• /
• 2000

The purpose of this study was to classify the somatotype of elderly women and to extract discriminant factors of the classification. The subjects were 218 elderly women aged 60-85 years old. Data were collected from 46 anthropometric and photographic measurements of each subject and analyzed by frequencies, crosstabs, analysis of variance and discriminant analysis. The somatotype was classified into 5 types according to the lateral view. The normal type was defined as the type which the plumb line passes through the cervicale and the lateral malleolus. The lean-back type positioned the plumb line more posteriorly than normal type. The swayback type positioned the plumb line at about the same line as the lean-back type, but curvature of lateral view was prominent. The lean-forward type I and II positioned the plumb line more anteriorly than normal, but the spinal curvature of the type II disappeared. As the result of discriminant analysis, significant discriminant factors of anthropometric measurement were cervicale height, anterior waist height, neck point to posterior waist length, anterior waist length. Photographic measurement were C valve, D value, ∠${\alpha}$ and ∠${\beta}$.