• Korean Journal of Mathematics
• /
• v.19 no.4
• /
• pp.381-390
• /
• 2011

This paper is a direct continuation of [1]. In this paper we derive tensorial representations of contracted ES curvature tensors of $g-ESX_n$ and prove several generalized identities involving them. In particular, a variation of the generalized Bianchi's identity in $g-ESX_n$, which has a great deal of useful physical applications, is proved in Theorem (2.9).

• Korean Journal of Mathematics
• /
• v.22 no.4
• /
• pp.621-632
• /
• 2014

In this paper, we study the dynamical behavior of the one-dimensional convective Cahn-Hilliard equation(CCHE) on a periodic cell [$-{\pi},{\pi}$]. We prove that as the control parameter passes through the critical number, the CCHE bifurcates from the trivial solution to an attractor. We describe the bifurcated attractor in detail which gives the final patterns of solutions near the trivial solution.

• Proceedings of the KAIS Fall Conference
• /
• 2010.05b
• /
• pp.992-995
• /
• 2010

엔진 흡기시스템 중 흡기매니폴드는 가솔린엔진의 성능을 결정하는 매우 중요한 성능 인자이다. 본 연구에서는 1400cc급 가솔린 엔진용 흡기 매니폴드에 대한 유동해석과 리그 실험을 수행하였다. 압력차에 따른 유동 및 유량계수의 해석을 통하여 유동특성을 분석하였으며 실험적 평가를 통하여 공기유량계수의 결과치를 검증하였다. 해석과 실험 결과를 비교 분석하여, 해석값과 실험값의 오차를 확인하였다.

• The Pure and Applied Mathematics
• /
• v.18 no.4
• /
• pp.353-359
• /
• 2011

In this paper, we characterize a semi-Riemannian manifolds satisfies the axiom of indefinite surfaces. We obtain the following result: If a semi-Riemannian manifold satisfies the axiom of indefinite surfaces, then it is a real space form.

• Communications of the Korean Mathematical Society
• /
• v.18 no.4
• /
• pp.687-693
• /
• 2003

In this paper, when N is a compact Riemannian manifold, using warped products, we discuss the conformal deformation of a warped product metric on $M\;\;[a,\;\infty)\;\times\;_f\;N$ with specific warping functions.

• Journal of the Korean Mathematical Society
• /
• v.44 no.4
• /
• pp.799-807
• /
• 2007

In this paper we study non-simply connected Riemannian manifolds of constant positive curvature which have an orbit of codimension one under the action of a connected closed Lie subgroup of isometries. When the action is reducible we characterize the orbits explicitly. We also prove that in some cases the manifold is homogeneous.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.4
• /
• pp.735-743
• /
• 2011

Let f be a diffeomorphism of a closed n-dimensional smooth manifold. In this paper, we introduce the notion of $C^1$-stably periodic shadowing property for a closed f-invariant set, and prove that for a transitive set ${\Lambda}$, if f has the $C^1$-stably periodic shadowing property on ${\Lambda}$, then ${\Lambda}$ admits a dominated splitting.

• Kyungpook Mathematical Journal
• /
• v.60 no.4
• /
• pp.831-837
• /
• 2020

Let M be the exterior of a hyperbolic link K ∪ L in a homology 3-sphere Y, such that the linking number lk(K, L) is non-zero. In this note we prove that if γ is a slope in ∂N(L) such that the manifold ML(γ) obtained by γ-Dehn filling along ∂N(L) contains a Klein bottle, then there is a bound on Δ(μ, γ), depending on the genus of K and on lk(K, L).

• Korean Journal of Mathematics
• /
• v.29 no.4
• /
• pp.801-810
• /
• 2021

This paper deals with the study of N (k)-quasi Einstein manifolds that satisfies the certain curvature conditions 𝒞_*·𝒞_* = 0, 𝓢·𝒞_* = 0 and ${\mathcal{R}}{\cdot}{\mathcal{C}}_*=f{\tilde{Q}}(g,\;{\mathcal{C}}_*)$, where 𝒞_*, 𝓢 and 𝓡 denotes the quasi-conformal curvature tensor, Ricci tensor and the curvature tensor respectively. Finally, we construct an example of N (k)-quasi Einstein manifold.

• Honam Mathematical Journal
• /
• v.43 no.4
• /
• pp.701-715
• /
• 2021

In this paper, we study almost complex Norden Silver manifolds and Kaehler-Norden Silver manifolds. We define adapted connections of first, second and third type to an almost complex Norden Silver manifold and establish the necessary and sufficient conditions for the integrability of almost complex Norden Silver structure. Moreover, we investigate that a complex Norden Silver map is a harmonic map between Kaehler-Norden Silver manifolds.