• 제목/요약/키워드: conformal Killing distribution

검색결과 9건 처리시간 0.017초

EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH SPECIAL CONFORMALITIES

  • Jin, Dae Ho
    • 대한수학회보
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    • 제49권6호
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    • pp.1163-1178
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    • 2012
  • In this paper, we study the geometry of Einstein half lightlike submanifolds M of a semi-Riemannian space form $\bar{M}(c)$ subject to the conditions: (a) M is screen conformal, and (b) the coscreen distribution of M is a conformal Killing one. The main result is a classification theorem for screen conformal Einstein half lightlike submanifolds of a Lorentzian space form with a conformal Killing coscreen distribution.

HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

  • Jin, Dae-Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제17권1호
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    • pp.29-38
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    • 2010
  • We study the geometry of half light like submanifold M of a semi-Riemannian space form $\bar{M}$(c) subject to the conditions : (a) the screen distribution on M is totally umbilic in M and the coscreen distribution on M is conformal Killing on $\bar{M}$ or (b) the screen distribution is totally geodesic in M and M is irrotational.

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Jin, Dae-Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권3호
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    • pp.211-228
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    • 2012
  • We study lightlike submanifolds M of a semi-Riemannian manifold $\bar{M}$ with a semi-symmetric non-metric connection subject to the conditions; (a) the characteristic vector field of $\bar{M}$ is tangent to M, (b) the screen distribution on M is totally umbilical in M and (c) the co-screen distribution on M is conformal Killing.

GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

  • Jin, Dae Ho
    • 충청수학회지
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    • 제24권4호
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    • pp.769-781
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    • 2011
  • We study the geometry of half lightlike sbmanifolds M of a semi-Riemannian space form $\tilde{M}(c)$ admitting a semi-symmetric metric connection subject to the conditions: (1) The screen distribution S(TM) is totally umbilical (geodesic) and (2) the co-screen distribution $S(TM^{\bot})$ of M is a conformal Killing one.

THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

  • Jin, Dae Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권4호
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    • pp.327-335
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    • 2012
  • We study half lightlike submanifolds M of semi-Riemannian manifolds $\widetilde{M}$ of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half lightlike submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of $\widetilde{M}$ is tangent to M, and (2) the co-screen distribution is a conformal Killing one.

EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION

  • Jin, Dae-Ho
    • 호남수학학술지
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    • 제30권3호
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    • pp.487-504
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    • 2008
  • In this paper we study the geometry of codimension 2 screen conformal Einstein half lightiike submanifolds M of a semi-Riemannian manifold $(\={M}(c),\={g})$ of constant curvature c, with a Killing co-screen distribution on $\={M}$. The main result is a classification theorem for screen homothetic Einstein half lightlike submanifold of Lorentzian space forms.

A CLASSIFICATION OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Jin, Dae Ho;Lee, Jae Won
    • 대한수학회보
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    • 제50권3호
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    • pp.705-717
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    • 2013
  • In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold $\tilde{M}$ with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector field of $\tilde{M}$ is tangent to M, the screen distribution on M is totally umbilical in M and the co-screen distribution on M is conformal Killing, or (2) the screen distribution is integrable and the local lightlike second fundamental form of M is parallel.

선량강도 조절법을 이용한 방사선치료에서 총선량에 관한 고찰 (A Study of Total Dose in Intensity Modulation Radiation Therapy)

  • 김성규
    • 한국의학물리학회지:의학물리
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    • 제11권1호
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    • pp.85-90
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    • 2000
  • 방사선치료에서 치료의 효과는 총선량, 치료회수, 1회 조사선량 등에 의해서 결정된다. 선량강도조절법을 사용하여 방사선치료를 행할 때 치료회수나 1회 조사선량을 고려하여 총선량에 미치는 효과를 살펴보고자 한다. 방사선치료의 목적은 암조직에는 충분한 선량을 조사하면서 주위 정상 조직에는 최소한의 선량을 조사되게 하여 치료성적의 향상으로 암환자의 생존율과 삶의 질을 높이는데 목적이 있다. 이러한 문제를 해결하기 위하여 많은 연구자들이 여러 가지 방법으로 해결하고자 노력한 결과 CT의 영상을 치료계획에 이용할 수 있게 되어 three dimensional conformal radiation therapy(3DCRT)를 개발하였다. 선량강도조절법을 시행하여 총선량을 75, 80, 85, 90Gy를 조사할 때, 처음부터 선량강도조절법을 사용하여 치료하는 경우와 일차적으로 45Gy를 조사하고 boost를 조사할 때 나머지 선량을 선량강도조절 법으로 사용하는 것을 TDF 환산법을 사용하여 비교하였다. 처음부터 선량강도조절법으로 치료할 경우에는 총선량에서 약 12.5 - 15 Gy 정도 감해서 조사하여야 하는 것으로 나타났다.

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