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Spherical Orthotomic and Spherical Antiothotomic

Spherical Orthotomic and Spherical Antiothotomic
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摘要 In this paper the spherical orthotomic and the spherical antiorthotomic are defined and their local diffeomorphic types are determined. In this paper the spherical orthotomic and the spherical antiorthotomic are defined and their local diffeomorphic types are determined.
作者 Jian Fei XIONG
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第9期1673-1682,共10页 数学学报（英文版）
基金 National Natural Science Foundation of China under grants No.10261002 and No.106711009 SRF for ROCS,SEM
关键词 spherical curve spherical orthotomic spherical antiorthotomic SINGULARITY spherical curve, spherical orthotomic, spherical antiorthotomic, singularity
分类号 O18 [理学—基础数学]
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参考文献7

  • 1Bruce, J. W.: On singularities, envelopes and elementary differential geometry. Math. Proc. Cambridge Philos. Soc., 89(1), 43-48 (1981)
  • 2Bruce, J. W., G iblin, P. J.: Curves and singularities. A geometrical introduction to singularity theory. Second edition. University Press, Cambridge, 1992
  • 3Bruce, J. W., Giblin, P. J.: One-parameter families of caustics by reflexion in the plane. Quart. J. Math. Oxford Ser. (2), 35(139), 243-251 (1984)
  • 4Georgiou, Chr.; Hasanis, Th. Koutroufiotis, D.: On the caustic of a convex mirror. Geom. Dedicata, 28(2), 153-169 (1988)
  • 5Alamo, N., Criado, C.: Generalized antiorthotomics and their singularities. Inverse Problems, 18(3), 881- 889 (2002)
  • 6Porteous, I. R.: Geometric differentiation. For the intelligence of curves and surfaces, Second edition, Cambridge University Press, Cambridge, 2001
  • 7Struik, Dirk J.: Lectures on classical differential geometry, second edition, Addison-Wesley Publishing Company, INC. Massachusetts, 1961
Acta Mathematica Sinica,English Series
2007年 第9期

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