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SPACE-LIKE SURFACES WITH 1-TYPE GENERALIZED GAUSS MAP

  • Choi, Soon-Meen;Ki, U-Hang;Suh, Young-Jin
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.315-330
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    • 1998
  • Chen and Piccinni [7] have classified all compact surfaces in a Euclidean space $R^{2+p}$ with 1-type generalized Gauss map. Being motivated by this result, the purpose of this paper is to consider the Lorentz version of the classification theorem and to obtain a complete classification of space-like surfaces in indefinite Euclidean space $R_{p}$ $^{2+p}$ with 1-type generalized Gauss map.p.

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ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

  • Dursun, Ugur
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.301-312
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    • 2015
  • In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-space $\mathbb{E}^4_1$ with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in $\mathbb{E}^4_1$.

BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41

  • Aksoyak, Ferdag Kahraman;Yayli, Yusuf
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1863-1874
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    • 2014
  • In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space $\mathbb{E}^4_1$. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.

A NEW TYPE OF TUBULAR SURFACE HAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE 𝔼4

  • Kisi, Ilim;Ozturk, Gunay
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.923-938
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    • 2018
  • In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean 4-space ${\mathbb{E}}^4$.

Vector Map Simplification Using Poyline Curvature

  • Pham, Ngoc-Giao;Lee, Suk-Hwan;Kwon, Ki-Ryong
    • Journal of Multimedia Information System
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    • v.4 no.4
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    • pp.249-254
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    • 2017
  • Digital vector maps must be compressed effectively for transmission or storage in Web GIS (geographic information system) and mobile GIS applications. This paper presents a polyline compression method that consists of polyline feature-based hybrid simplification and second derivative-based data compression. Experimental results verify that our method has higher simplification and compression efficiency than conventional methods and produces good quality compressed maps.

Satellite Ground Track Display on a Digitized World Map for the KOMPSAT-2 Mission Operations

  • Lee, Byoung-Sun;Kim, Jae-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.246-249
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    • 2005
  • Satellite ground track display computer program is designed and implemented for the KOMPSAT-2 mission operations. Digitized world map and detailed Korean map is realized with zoom and pan capability. The program supports real-time ground trace and off-line satellite image planning on the world map. Satellite mission timeline is also displayed with the satellite ground track for the visualized mission operations. In this paper, the satellite ground track display is described in the aspect of the functional requirements, design, and implementation.

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A study on the MAP network management for real time application (실시간 응용을 위한 MAP 네트워크 관리에 관한 연구)

  • 이창원;신기명;이강현;김용득
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.332-336
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    • 1991
  • Network management is responsible for gathering information on the usage of the network media by the network devices, ensuring the correct operation of the network, and providing reports. MAP network management must provide the high reliability of the media and signaling method, even in very harsh environments, providing a very low bit error rate and minimum number of retransmission. In this paper, we analysed the framework of OSI management and MAP network management and discussed the implementation method of fault management and remote management mechanism in the Mini-MAP controller developed for IBM-PC.

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Feature extraction from contour map and construction of layer (등고선 지도로부터 특징 추출과 레이어 구성)

  • 최관순;이쾌희
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1169-1174
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    • 1991
  • In conventional geographic mapping system, it is needed to input many already existing geographic map into computer system for secure and efficient maintence. Because of large map data, it is required to construct layers from map image for easy display, fast retreval and efficient storage. Thus this paper represents a method of the extracting features from contour map and constructing three layers. The layers are symbol, building, contour line. Experimental results are presented confirming the method's high extraction.

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SOME RESULTS OF SELF MAP NEAR-RINGS

  • Cho, Yong-Uk
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.523-527
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    • 2011
  • In this paper, We initiate a study of zero symmetric and constant parts of near-rings, and then apply these to self map near-rings. Next, we investigate that every near-ring can be embedded into some self map near-ring, and every zero symmetric near-ring can be embedded into some zero symmetric self map near-ring.

DISCRETENESS BY USE OF A TEST MAP

  • Li, Liulan;Fu, Xi
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.57-61
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    • 2012
  • It is well known that one could use a fixed loxodromic or parabolic element of a non-elementary group $G{\subset}M(\bar{\mathbb{R}}^n)$ as a test map to test the discreteness of G. In this paper, we show that a test map need not be in G. We also construct an example to show that the similar result using an elliptic element as a test map does not hold.