• Bulletin of the Korean Mathematical Society
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• v.50 no.4
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• pp.1099-1108
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• 2013

We define the Mannheim curve in a 3-dimensional Riemannian manifold, which is a generalization of the Mannheim curve in Euclidean space. In particular, we study the Mannheim curves and their partner curves in 3-dimensional space forms.

• 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.

• Journal of the Korean Mathematical Society
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• v.34 no.4
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• pp.809-824
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• 1997

With the primitive orders in quaternion algebra, theta series associated with these orders are constructed. Here, we studied the space of modular forms generated by these theta series.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.3
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• pp.509-514
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• 2016

By constructing a canonical basis for the space $M_k^{\sharp}({\Gamma}_0(N))$ explicitly, we find a basis of the space of cusp forms for ${\Gamma}_0(N)$ consisting of $Poincar{\acute{e}}$ series.

• The Research Journal of the Costume Culture
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• v.19 no.4
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• pp.805-819
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• 2011

In contemporary society, heterotopia is the law dominates thoughts and is the concept reconstituted spaces calls order in chaos. And that is the place which refuses the paradoxical and social custom and sometimes poses a danger and rise in rebel. The purpose of this study is to study how forms of clothing fluid form images are expressed in modern fashion develop body around in the spatial relationship between the body and its environment. The study method consider changed characterastics of fluid space through the heterotopia thinking system of Foucault Michel. Based on this method, the heterotopia space that appeared in the plastic arts in aspects of artistic significance and aesthetic value was examined. Based on the above discussion on modern fashion Fluid Form were expressed in any formative characteristics were considered. The results of this study are as follows. Fluidity is the transformed interaction. It expanded external representation of organic body structure and reconstructed flexible forms of dynamic structures continuously. Transformation is the new space structure. It constructed invisible transformation and developed convertible dress space by combining a variety of functional overlap and fold. Deconstruction was expressed structural forms, expanding the existing forms in the open structure which have ambiguous boundaries.

• Korean Institute of Interior Design Journal
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• v.25 no.6
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• pp.127-138
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• 2016

As the dark side of society, Idle spaces, which occurred with the paradigm change due to rapid modernization and industralization, has been existing as a severed part in cities. But with the periodic change, interest in the existing place and regional regeneration, and the necessity of reconsidering about the idle spaces values of space, city environment, socio-culture, and economy was proposed. I estimated that the change of relational aesthetics aspect of modern arts resulted in the consideration of recognizing 'place' of art, through the study, it was revealed that the form of modern arts and change of enjoyment were related to space, and the fact that this had a relation with the rise of artistic regeneration of idle spaces. mutually communicative relationship formation and practical form of arts was deducted through the interpretation of relational aesthetics, Idle spaces and artistic regeneration space can be categorized into forms of experiential space, creative space, and cultural space, depending on the formation of relationship between author-art-audience. Through the comprehensive analysis, Artistic regeneration space by relationship formation is Vitalization of various forms of art and participation program eliminates the boundary between creation and enjoyment, and the space itself can be said to contain extensive, integral, and nonterritorialization meaning as a place of experiencing art. In other words, Artistic regeneration space of idle spaces forms a close relationship with the local society, and is placed within the context of daily domain as an open space, straying off from the existing separative and closed artistic space configuration. and artistic changeover of idle spaces is not only the appearance of space that simply fulfills function according to transfiguration of modern art, but signifies that art is coexisting with space as an indivisible relationship, and can be said to be the foothold of new relationship creation as the practical 'place' of art.

• Bulletin of the Korean Mathematical Society
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• v.44 no.1
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• pp.195-202
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• 2007

We prove that a real hypersurface M in a complex space form Mn(c), $c{\neq}0$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution and the Ricci operator is ${\eta}-parallel$, is a Hopf hypersurface. We also give a characterization of this hypersurface.

• Communications of the Korean Mathematical Society
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• v.29 no.2
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• pp.295-310
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• 2014

This paper provides a study of lightlike submanifolds of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike submanifolds with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.

• Bulletin of the Korean Mathematical Society
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• v.49 no.4
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• pp.863-874
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• 2012

We provide a study of lightlike hypersurfaces of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike hypersurfaces with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.

• Bulletin of the Korean Mathematical Society
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• v.50 no.6
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• pp.2089-2101
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• 2013

The aim of this paper is to introduce the notion of Lie recurrent structure Jacobi operator for real hypersurfaces in non-flat complex space forms and to study such real hypersurfaces. More precisely, the non-existence of such real hypersurfaces is proved.