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Geometric differentiation — A thomist view of differential geometry

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Proceedings of Liverpool Singularities Symposium II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 209))

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References

  1. I.R. Porteous, The normal singularities of a submanifold. To appear in Jour. Diff. Geom.

    Google Scholar 

  2. J.M. Boardman, Singularities of differentiable maps. Inst. Hautes Études Sci. Publ. Math. 33 (1967), 21–57.

    Article  MathSciNet  MATH  Google Scholar 

  3. I.R. Porteous, Simple singularities of maps. Columbia Notes 1962, reprinted with slight revision in Vol.1 of these Proceedings. Springer Lecture notes no. 192 (1971).

    Google Scholar 

  4. R. Thom, Stabilité structurelle et morphogénèse. Benjamin (to appear)

    Google Scholar 

  5. R. Thom, Sur la théorie des enveloppes. J. Mat. Pur. Appl. 41 (1962) 177–192.

    MathSciNet  MATH  Google Scholar 

  6. J. Mather, Stability of C∞ mappings III. Finitely determined map-germs. Inst.Hautes Études Sci. Publ. Math. 35 (1968) 279–308.

    MathSciNet  Google Scholar 

  7. A. Cayley, On the centro-surface of an ellipsoid. Trans. Camb. Phil. Soc. 12 (1873) 319–365 (Collected Works Vol.VIII, paper 520)

    Google Scholar 

  8. K. Kommerell, Riemmanschen Flächen im ebenen Raum von vier Dimensionen. Mat. Ann. 60 (1905) 548–596.

    Article  MathSciNet  Google Scholar 

  9. D. Perepelkine, Sur la courbure et les espaces normaux d’une Vm dans Rn. Rec. Math. (Mat. Sbornik) N.S. 42 (1935) 81–100.

    Google Scholar 

  10. Y-C. Wong, A new curvature theory for surfaces in a Euclidean 4-space. Comm. Mat. Helv. 26 (1952) 152–170.

    Article  MATH  Google Scholar 

  11. K.S. Ramazanova, On the theory of two-dimensional surfaces in E4. (Russian) Volzh. Mat. Sb. Vyp. 3 (1965) 296–311 M.R. 34 # 693.

    MathSciNet  Google Scholar 

  12. K.S. Ramazanova, The theory of curvature of X2 in E4. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. No. 6 (55) (1966) 137–143 M.R. 35 # 888.

    Google Scholar 

  13. J.A. Little, On singularities of submanifolds of higher-dimensional Euclidean spaces. Thesis. U. of Minnesota (1968).

    Google Scholar 

  14. J.A. Schouten, und D.J. Struik, Einführung in die neueren Methoden der Differential geometrie. Vol.2. Groningen-Batavia 1938.

    Google Scholar 

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Authors
  1. I. R. Porteous
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C. T. C. Wall

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© 1971 Springer-Verlag Berlin · Heidelberg

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Porteous, I.R. (1971). Geometric differentiation — A thomist view of differential geometry. In: Wall, C.T.C. (eds) Proceedings of Liverpool Singularities Symposium II. Lecture Notes in Mathematics, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068899

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  • DOI: https://doi.org/10.1007/BFb0068899

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05511-2

  • Online ISBN: 978-3-540-36868-7

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