• Title/Summary/Keyword: GCR

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GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD

  • Kumar, Sangeet;Kumar, Rakesh;Nagaich, Rakesh Kumar
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.883-899
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    • 2014
  • We introduce GCR-lightlike submanifold of a semi-Riemannian product manifold and give an example. We study geodesic GCR-lightlike submanifolds of a semi-Riemannian product manifold and obtain some necessary and sufficient conditions for a GCR-lightlike submanifold to be a GCR-lightlike product. Finally, we discuss minimal GCR-lightlike submanifolds of a semi-Riemannian product manifold.

A NOTE ON GCR-LIGHTLIKE WARPED PRODUCT SUBMANIFOLDS IN INDEFINITE KAEHLER MANIFOLDS

  • Kumar, Sangeet;Pruthi, Megha
    • Communications of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.783-800
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    • 2021
  • We prove the non-existence of warped product GCR-lightlike submanifolds of the type K × λ KT such that KT is a holomorphic submanifold and K is a totally real submanifold in an indefinite Kaehler manifold $\tilde{K}$. Further, the existence of GCR-lightlike warped product submanifolds of the type KT × λ K is obtained by establishing a characterization theorem in terms of the shape operator and the warping function in an indefinite Kaehler manifold. Consequently, we find some necessary and sufficient conditions for an isometrically immersed GCR-lightlike submanifold in an indefinite Kaehler manifold to be a GCR-lightlike warped product, in terms of the canonical structures f and ω. Moreover, we also derive a geometric estimate for the second fundamental form of GCR-lightlike warped product submanifolds, in terms of the Hessian of the warping function λ.

CHARACTERIZATIONS ON GEODESIC GCR-LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER STATISTICAL MANIFOLD

  • Rani, Vandana;Kaur, Jasleen
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.432-446
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    • 2022
  • This article introduces the structure of GCR-lightlike submanifolds of an indefinite Kaehler statistical manifold and derives their geometric properties. The characterizations on totally geodesic, mixed geodesic, D-geodesic and D'-geodesic GCR-lightlike submanifolds have also been obtained.

ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE

  • Fu, Yu;Yang, Dan
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.227-245
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    • 2016
  • A generalized constant ratio surface (GCR surface) is defined by the property that the tangential component of the position vector is a principal direction at each point on the surface, see [8] for details. In this paper, by solving some differential equations, a complete classification of Lorentz GCR surfaces in the three-dimensional Minkowski space is presented. Moreover, it turns out that a flat Lorentz GCR surface is an open part of a cylinder, apart from a plane and a CMC Lorentz GCR surface is a surface of revolution.

Comparison of Case Management between Tele Care Regions and General Care Regions in Korean Medicaid (의료급여 수급자의 건강관리 및 의료이용에 대한 텔레케어 사례관리의 효과)

  • Lee, Hyun-Joo;Oh, Jin-Joo;Choi, Jeong-Myung
    • Journal of Korean Academy of Nursing Administration
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    • v.16 no.4
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    • pp.381-388
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    • 2010
  • Purpose: The purpose of the study was to compare recipients' health behavior, attitude to using medicaid, medication compliance, and the changes in hospital cost and visit-day of in-patient and out-patient care between tele-care regions (TCR) and general care regions (GCR) in Korean medicaid. Method: The design of the study was ex-post facto comparing recipients in TCR and GCR. The sample included 625 persons in TCR and 410 persons in GCR. To collect materials, the case manager interviewed recipients of medicaid and filled out questionnaires which were analyzed through SAS/PC 9.1. Results: In studying health behavior and medication, compliance was not significant. However, the attitude to using medicaid was significantly more positive in TCR than in GCR. In out-patients, the change of hospital visit-day was not significant between TCR and GCR, but TCR showed a reduction in hospital cost compared to GCR. For in-patient recipients, GCR showed a greater reduction in changes in hospital cost and visit-day compared to TCR. Conclusions: The results of the study show that attitudes to using medicaid via telephone are positive and results are more effective than hospital visit consultation, and the cost of out-patient care could be reduced.

INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

  • Kumar, Rakesh;Kumar, Sangeet;Nagaich, Rakesh Kumar
    • Communications of the Korean Mathematical Society
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    • v.27 no.3
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    • pp.591-602
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    • 2012
  • In present paper we establish conditions for the integrability of various distributions of GCR-lightlike submanifolds and obtain conditions for the distributions to define totally geodesic foliations in GCR-lightlike submanifolds.

GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS

  • Kumar, Sangeet;Kumar, Rakesh;Nagaich, R.K.
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.1173-1192
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    • 2013
  • We introduce CR, SCR and GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds and obtain their existence in indefinite nearly Kaehler manifolds of constant holomorphic sectional curvature $c$ and of constant type ${\alpha}$. We also prove characterization theorems on the existence of totally umbilical and minimal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds.

Integrability of Distributions in GCR-lightlike Submanifolds of Indefinite Sasakian Manifolds

  • Jain, Varun;Kumar, Rakesh;Nagaich, Rakesh Kumar
    • Kyungpook Mathematical Journal
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    • v.53 no.2
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    • pp.207-218
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    • 2013
  • In this paper, we study GCR-lightlike submanifolds of indefinite Sasakian manifold. We give some necessary and sufficient conditions on integrability of various distributions of GCR-lightlike submanifold of an indefinite Sasakian manifold. We also find the conditions for each leaf of holomorphic distribution and radical distribution is totally geodesic.

A study on the impulse response characteristics by using the GCR proposed for korean standard (한국 표준으로 제안된 GCR에 의한 임펄스 응답특성에 관한 연구)

  • 권병헌;주광철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.4
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    • pp.1027-1037
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    • 1996
  • This paper presents an impulse response of the multi-path channel using KS-GCR(Korean Standard Ghost Cancel Reference) signal. Using the property of the KS-GCRsignal, we can get the impulse response of the multi-path channel from circular cross correlation of the received DS-GCR signal and the orginal KS-GCR ternary sequence. Therefore impulse response of the multi-path channel can be used to design the the ghost cancellation filter if it is designed to have inverse characteristics of multi-path channel. This paper shows that the ghost occurred from the multi-path channel can be cancelled by using the impulse response and preceding ghost cancellation algorithm.

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Climate Influences of Galactic Cosmic Rays (GCR): Review and Implications for Research Policy (우주기원의 고에너지 입자가 기후에 미치는 영향: 연구 현황과 정책적 시사점)

  • Kim, Jiyoung;Jang, Kun-Il
    • Atmosphere
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    • v.27 no.4
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    • pp.499-509
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    • 2017
  • Possible links among cosmic ray, cloud, and climate have scientific uncertainties. The reputed topics have been highly controversial during several decades. A link between the atmospheric ionization by galactic cosmic rays (GCR), which is modulated by solar activities, and global cloud cover was firstly proposed in 1997. Some researchers suggested that the GCR can stimulate the formation of cloud condensation nuclei (CCN) in the atmosphere, and then the higher CCN concentrations may lead to an increase of cloud cover, resulting in a cooling of the Earth's climate, and vise versa. The CLOUD (Cosmic leaving outdoor droplets) experiment was designed to study the effect of GCR on the formation of atmospheric aerosols and clouds under precisely controlled laboratory conditions. A state-of-the-art chamber experiment has greatly advanced our scientific understanding of the aerosol formation in early stage and its nucleation processes if the GCR effect is considered or not. Many studies on the climate-GCR (or space weather) connection including the CLOUD experiment have been carried out during the several decades. Although it may not be easy to clarify the physical connection, the recent scientific approaches such as the laboratory experiments or modeling studies give some implications that the research definitively contributed to reduce the scientific uncertainties of natural and anthropogenic aerosol radiative forcing as well as to better understand the formation processes of fine particulate matters as an important parameter of air quality forecast.