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Volumn 56, Issue 2, 2006, Pages 322-336

Rotations with unit timelike quaternions in Minkowski 3-space

Author keywords

Lorentzian geometry; Minkowski 3 space; Quaternions; Rotations; Split quaternions

Indexed keywords


EID: 26844514529     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2005.02.004     Document Type: Article
Times cited : (105)

References (11)
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    • 85035247508 scopus 로고    scopus 로고
    • Timelike surfaces of constant mean curvature in Minkowski 3-space
    • J. Inoguchi Timelike surfaces of constant mean curvature in Minkowski 3-space Tokyo J. Math. 21 1 1998 141-152
    • (1998) Tokyo J. Math. , vol.21 , Issue.1 , pp. 141-152
    • Inoguchi, J.1
  • 4
    • 0002323920 scopus 로고
    • Trigonometry in Lorentzian geometry
    • S. Birman K. Nomuzi Trigonometry in Lorentzian geometry Am. Math. Monthly 91 1984 543-549
    • (1984) Am. Math. Monthly , vol.91 , pp. 543-549
    • Birman, S.1    Nomuzi, K.2
  • 5
    • 26844436077 scopus 로고    scopus 로고
    • Some geometric applications of timelike quaternions
    • submitted for publication
    • Özdemir, M., Ergin, A.A., Some geometric applications of timelike quaternions, submitted for publication.
    • Özdemir, M.1    Ergin, A.A.2
  • 6
    • 0039557784 scopus 로고    scopus 로고
    • Quaternions, Interpolation and Animation
    • Technical Report, DIKU-TR-98/5, University of Copenhagen
    • Dam, E.B., Koch, M., Lillholm, M., Quaternions, Interpolation and Animation, Technical Report, DIKU-TR-98/5, University of Copenhagen, 1998.
    • (1998)
    • Dam, E.B.1    Koch, M.2    Lillholm, M.3
  • 7
    • 19744366064 scopus 로고    scopus 로고
    • Using Quaternions for Parametrizing 3-D Rotations in Unconstrained Nonlinear Optimization, Vision Modeling, and Visualization
    • Stuttgart, Germany, November
    • J. Schmidt, H. Nieman, Using Quaternions for Parametrizing 3-D Rotations in Unconstrained Nonlinear Optimization, Vision Modeling, and Visualization, Stuttgart, Germany, November 2001, pp. 399-406
    • (2001) , pp. 399-406
    • Schmidt, J.1    Nieman, H.2
  • 11
    • 25144455784 scopus 로고
    • Ternary composition algebra. I. Structure theorems: Definite and neutral signatures
    • R. Shaw Ternary composition algebra. I. Structure theorems: Definite and neutral signatures Proc. R. Soc. Lond. A 431 1990 1-19
    • (1990) Proc. R. Soc. Lond. A , vol.431 , pp. 1-19
    • Shaw, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.