논문KCI 등재
Projections of pseudosphere in the Lorentz 3-space
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Abstract
In this paper, we study the map projections from pseudo-sphere S21 onto the non-lightlike surfaces in the 3-dimensional Lorentzianspace,L3;with curvature zero. We show geometrical means and proper-ties ofR S11 cylindrical, S1 L cylindrical and R H 10 cylindricalprojections dened on S21 to cylinders R S11 ; S1 L and R H 10 ,respectively, and orthographic and stereographic projections on S21 toLorentzian plane, L2.
참고문헌 (4)
- G. S. Birman, "Laplacian on mean curvature vector elds for somenon-lightlike surfaces in the 3-dimensional Lorentzian space", pp.27~33 (2003), Univ. Nac. delSur, Bahia Blanca
- second edition, "Introduction to Geometry" (1969), Inc
- O`Neill, "With applications to relativity" (1983), Academic Press Inc
- second edition, "Lectures on Classical Dierential Geometry" (1961), Inc
관련 논문AI추천
On Ruled surfaces in Minkowski spacesDae Won Yoon, Dong-Soo Kim, Young Ho Kim대한수학회 · 대한수학회논문집2003 · 제18권 제2호Null Bertrand Curves in a Lorentz Manifold진대호한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호Lorentzian surfaces with constant curvatures and transformations in the 3-dimensional Lorentzian space박준상대한수학회 · 대한수학회지2008 · 제45권 제1호Position vectors of a spacelike $W$-curve in Minkowski space $\Bbb{E}^3_1${\, Kaz\i m {\. I}larslan대한수학회 · 대한수학회보2007 · 제44권 제3호Ribaucour transformations on Riemannian space forms in Lorentzian space form박준상대한수학회 · 대한수학회논문집2006 · 제21권 제4호TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ홍성관한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호
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