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The Schwarzian derivative, conformal connections, and Möbius structures

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References

  1. S. Kobayashi,Transformation Groups in Differential Geometry, Springer-Verlag, New York, 1972.

    MATH  Google Scholar 

  2. S. Kobayashi,Canonical forms on frame bundles of higher order contact, inDifferential Geometry, Proc. Symp. Pure Math., Vol. 3, Amer. Math. Soc, Providence, R.I., 1961, pp. 186–193.

    Google Scholar 

  3. S. Kobayashi and K. Nomizu,Foundations of Differential Geometry, Vol. I, Wiley, New York, 1963.

    MATH  Google Scholar 

  4. R. Kulkarni and U. Pinkall,A canonical metric for Möbius structures and its applications, Math. Z.216 (1994), 89–129.

    Article  MATH  MathSciNet  Google Scholar 

  5. R. Molzon and K. Pinney,The Schwarzian derivative for maps between manifolds with complex projective connections, Trans. Amer. Math. Soc.348 (1996), 3015–3036.

    Article  MATH  MathSciNet  Google Scholar 

  6. B. Osgood,The Möbius connection in the bundle of conformai 2-jets, inBundles in Complex Differential Geometry (R. Fisher, H. T. Laquer and D. Stowe, eds.), Idaho State University, 1991, pp. 15–28.

  7. B. Osgood and D. Stowe,The Schwarzian derivative and conformai mapping of Riemannian manifolds, Duke Math. J.67 (1992), 57–99.

    Article  MATH  MathSciNet  Google Scholar 

  8. B. Osgood and D. Stowe,A generalization of Nehari ’s univalence criterion, Comment. Math. Helv.65 (1990), 234–242.

    Article  MATH  MathSciNet  Google Scholar 

  9. R. M. Porter,Differential invariants in Möbius geometry, J. Natur. Geom.3 (1993), 97–123.

    MATH  MathSciNet  Google Scholar 

  10. W. Thurston,Zippers and schlicht functions, inThe Bieberbach Conjecture, Proceedings of a Symposium on the Occasion of its Proof, Math. Surveys Monograph21, Amer. Math. Soc, Providence, R.I., 1986, pp. 185–197.

    Google Scholar 

  11. K. Yano,Concircular geometry I, Proc. Imperial Acad. Tokyo16 (1940), 195–200;II, 354–360;III, 442–448;IV, 505–511;V 18 (1942), 446–451.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Information Systems Laboratory, Stanford University, 94305, Stanford, CA, USA

    Brad Osgood

  2. Department of Mathematics, Idaho State University, 83209, Pocatello, ID, USA

    Dennis Stowe

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  1. Brad Osgood
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  2. Dennis Stowe
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Correspondence to Brad Osgood.

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Osgood, B., Stowe, D. The Schwarzian derivative, conformal connections, and Möbius structures. J. Anal. Math. 76, 163–190 (1998). https://doi.org/10.1007/BF02786934

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