• 대한수학회보
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• 제61권4호
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• pp.933-948
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• 2024

For (n ≥ 5)-dimensional compact V-static spaces with zero radial Weyl curvature, we prove that ∇f is an eigenvector of Ricci tensor. Furthermore, we also achieve that (Mⁿ, g, f) is T-flat provided $K{\frac{{\mid}{\nabla}{\mid}f^2}{f}}>0$.

• 대한수학회보
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• 제59권5호
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• pp.1167-1176
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• 2022

In this paper, we study Einstein-type manifolds generalizing static spaces and V-static spaces. We prove that if an Einstein-type manifold has non-positive complete divergence of its Weyl tensor and non-negative complete divergence of Bach tensor, then M has harmonic Weyl curvature. Also similar results on an Einstein-type manifold with complete divergence of Riemann tensor are proved.

• 대한수학회지
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• 제57권6호
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• pp.1435-1449
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• 2020

In this article we make a local classification of n-dimensional Riemannian manifolds (M, g) with harmonic curvature and less than four Ricci eigenvalues which admit a smooth non constant solution f to the following equation $$(1)\hspace{20}{\nabla}df=f(r-{\frac{R}{n-1}}g)+x{\cdot} r+y(R)g,$$ where ∇ is the Levi-Civita connection of g, r is the Ricci tensor of g, x is a constant and y(R) a function of the scalar curvature R. Indeed, we showed that, in a neighborhood V of each point in some open dense subset of M, either (i) or (ii) below holds; (i) (V, g, f + x) is a static space and isometric to a domain in the Riemannian product of an Einstein manifold N and a static space (W, gW, f + x), where gW is a warped product metric of an interval and an Einstein manifold. (ii) (V, g) is isometric to a domain in the warped product of an interval and an Einstein manifold. For the proof we use eigenvalue analysis based on the Codazzi tensor properties of the Ricci tensor.

• 한국지리정보학회지
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• 제24권1호
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• pp.112-125
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• 2021

해양공간계획은 해양을 체계적이고 합리적으로 관리하기 위해 9가지 용도구역으로 지정한다. 그 중 하나가 어업활동의 보호와 육성을 비롯한 수산물의 지속 가능한 생산을 위해 필요한 어업활동 보호구역이다. 본 연구는 V-Pass 자료를 활용하여 어업활동 지도를 제작하고 어업활동 밀집 공간을 도출함으로써 어업활동보호구역 지정에 필요한 요소 중 하나인 어업활동 공간을 정량적으로 파악하고자 한다. 이를 위해 V-Pass 자료를 정적 정보와 동적 정보가 결합된 데이터셋 구축, 어선 속도 계산, 어업활동 지점 추출, 비어업활동 공간 내의 자료 제거와 같은 전처리를 수행하였다. 최종적으로 선별된 V-Pass 점 자료를 이용하여 커널밀도추정으로 어업활동 지도를 제작하고 어업활동이 밀집된 공간을 분석하였다. 또한 어선의 업종과 계절에 따라 어업활동의 공간분포는 차이가 있음을 확인하였다. 본 연구를 통해 수행한 대용량 V-Pass 자료의 전처리 기법과 어업활동의 공간밀도 분석 방법은 향후 어업활동에 대한 공간특성평가 연구에 기여할 것으로 기대된다.

• KEPCO Journal on Electric Power and Energy
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• 제5권3호
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• pp.135-140
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• 2019

Lattice towers and tubular steel poles have been commonly used for electrical power transmission in Korea. They are durable, structurally stable, simple and can easily be constructed in limited spaces. However, residents are opposed to construct transmission lattice towers in their areas because they are not visually attractive, and electrical field occur at the transmission lines. Underground transmissions have been used instead of the traditional towers to resolve these problems, however they are not cost effective to construct and run. Therefore, we have developed eco-friendly towers that are more attractive, well blending into the surrounding environment, and much more economical than underground transmissions. There are four categories of the eco-friendly electric transmission towers about design aspects. Firstly, there is decoration type such as tree tower and ensemble tower. Tree tower looks like actual trees with leaves and branches so it blends into surroundings. Ensemble towers were designed after pair of crane birds. Those towers have decoration features and art works. Structural examination and manufacturing this type would be very similar to the conventional transmission towers. Secondly, there is arm design type such as traditional tower. Design features are added to the existing towers. As partial design can be adoptable on these types, it can easily meet height regulations and attach to conventional lattice towers and tubular steel poles. Also, these towers are more economical than others. Third category is multipurpose type such as Sail Tower. These towers have simple pole or tubular structure with features which can be used as information message board, public relations and much more. This type will face greater wind pressure because of the area of the board, also visibility must take into consideration. Lastly, there is moulding type such as arc pylon. It is different shape to the conventional towers - lattice towers and tubular steel poles. Dramatic design changes have been adapted - from a hard and static tower to a soft and curved tower. These towers will well stand out in the field. However, structural examination and manufacturing this type would be difficult and costly. Also certain towers of this type would require scaffolding or false work to construct, which will result in limitations of the construction area. This paper shows KEPCO 154 kV Sail tower in detail. KEPCO 154 kV Sail tower that is included in fabrication of sample tower and tower testing has developed and the results are presented in this paper. We hope that sail tower is also considered as a solution to have public acceptance or to create a familiar atmosphere among towers and people in coastal area.