• Communications of the Korean Mathematical Society
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• v.34 no.4
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• pp.1315-1328
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• 2019

The object of the present paper is to study ${\eta}$-recurrent ${\ast}$-Ricci tensor, ${\ast}$-Ricci semisymmetric and globally ${\varphi}-{\ast}$-Ricci symmetric contact metric generalized (${\kappa}$, ${\mu}$)-space form. Besides these, ${\ast}$-Ricci soliton and gradient ${\ast}$-Ricci soliton in contact metric generalized (${\kappa}$, ${\mu}$)-space form have been studied.

• Bulletin of the Korean Mathematical Society
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• v.56 no.4
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• pp.853-865
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• 2019

In this paper, we consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a complete Riemannian manifold: $${\Delta}_Vu+cu^{\alpha}=0$$, where c, ${\alpha}$ are two real constants and $c{\neq}0$. By applying Bochner formula and the maximum principle, we obtain local gradient estimates for positive solutions of the above equation on complete Riemannian manifolds with Bakry-${\acute{E}}mery$ Ricci curvature bounded from below, which generalize some results of [8].

• Journal of the Korean Mathematical Society
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• v.56 no.4
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• pp.1113-1129
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• 2019

We define a class of semi-symmetric metric connection on a Riemannian manifold for which the conformal, the projective, the concircular, the quasi conformal and the m-projective curvature tensors are invariant. We also study the properties of semisymmetric, Ricci semisymmetric and Eisenhart problems for solving second order parallel symmetric and skew-symmetric tensors on the Riemannian manifolds equipped with a semi-symmetric metric P-connection.

• Communications of the Korean Mathematical Society
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• v.37 no.3
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• pp.893-904
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• 2022

In this note, we apply a maximum principle related to volume growth of a complete noncompact Riemannian manifold, which was recently obtained by Alías, Caminha and do Nascimento in [4], to establish new uniqueness and nonexistence results concerning maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker (GRW) spacetime obeying the timelike convergence condition. A study of entire solutions for the maximal hypersurface equation in GRW spacetimes is also made and, in particular, a new Calabi-Bernstein type result is presented.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.789-799
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• 2022

We establish a sharp integral inequality related to compact (without boundary) linear Weingarten hypersurfaces (immersed) in a locally symmetric Einstein manifold and we apply it to characterize totally umbilical hypersurfaces and isoparametric hypersurfaces with two distinct principal curvatures, one which is simple, in such an ambient space. Our approach is based on the ideas and techniques introduced by Alías and Meléndez in [4] for the case of hypersurfaces with constant scalar curvature in an Euclidean round sphere.

• Communications of the Korean Mathematical Society
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• v.37 no.4
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• pp.1199-1207
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• 2022

In the present paper, a Riemannian submersion 𝜋 between Riemannian manifolds such that the total space of 𝜋 endowed with a torse-forming vector field 𝜈 is studied. Some remarkable results of such a submersion whose total space is Ricci soliton are given. Moreover, some characterizations about any fiber of 𝜋 or the base manifold B to be an almost quasi-Einstein are obtained.

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

• Journal of the korean Society of Automotive Engineers
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• v.10 no.4
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• pp.39-56
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• 1988

In this study, the computer program was developed to predict the engine performances and exhaust emissions of a 4-cylinder 4-stroke cycle ignition engine including intake and exhaust system. The simulation models applied to each process were as follows. For the combustion process, two zone model which requires only one empirical constant was applied, and for the gas exchange process, the method of characteristics that allows the calculations of the time variation and spatial variation of properties along the pipes was used. Constant pressure perfect mixing model was applied to take into account of the interaction at manifold branches. To predict exhaust emissions, twelve chemical species were considered to be present in combustion products. These species were calculated through equilibrium thermodynamics and kinetic theory. The empirical constants reduced to least number as possible were determined through the comparison with the experimental indicator diagram of one particular operating condition and these constants were applied to other operating conditions. The predicted performances and emissions were compared with the experimental results over the wide range of operating conditions.

• Journal of the Korean Institute of Educational Facilities
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• v.9 no.1
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• pp.15-26
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• 2002

According to seventh curriculum, new types of school design have been developed recently. However there are hardly any data of national status about plan and area organization, types and number of rooms of those. On this background, the purpose of this study is to provide fundamental resources for architectural designing and planning of high schools and to recognize national status of plan organizations of high schools through collecting 53 school's standard design drawings(arrangement, plan drawing) which city, province education office drafted for 4 years(from 1997 to 2000) and analyzing them into plan types, building area and type, number and area of rooms. The results of this study are as follows: 1. The range of class number of designed 53 high schools varies from 24 to 36 and 36-class-schools are 47.2% of all. Average number of class is 34.1. As a result we can find out large scale schools are mainly designed. 2. Among 53 schools, 21 schools have the department system but few of them equipped sufficient rooms and their features are very manifold. After recognizing utilization status of each schools, the standards of room type, number and plan organization should be proposed. In terms of plan type for fluent level based transferring class, most of schools are not apt. 3. In the status of type and number of rooms related to class number, range is very wide. So simplification is necessary. 4. The variations of building area, area per a class and area per a student are very large so that standard of adequate area should be established. 5. That every school which has different plan organization from conventional schools exceeds ministry of education's minimum area standards shows those standards cannot cover the diverse plan design of school. So more adequate standards should be proposed. 6. Area and number of Teacher's research room and Home Base are also very manifold from school to school. They are also considered to be simplified immediately.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.14 no.8
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• pp.839-844
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• 2003

For mass and volume reduction, input demultiplxer and output multiplexer of satellite transponder widely adopt dual-mode waveguide filters fer channel filters. Generally, channel filters of the input demultiplexer are doubly terminated and channel filters of manifold output multiplexer should be singly terminated fur correct operation. This paper gives a tuning method using short-ended dummy cavity for dual-mode cavity filters. Tuning is based on the match of the computed and measured phase response of reflection coefficient. This proposed method is applied to 4-pole dual-mode doubly terminated elliptic response filter and 6-pole dual-mode singly terminated elliptic response filter for demonstration of this new tuning method. It is shown that this method shows good agreement between the experimental and computed results.