Abstract
Which compact n-dimensional conformally flat manifolds (Mn, g) admit a conformai immersion as a hypersurface in IRn+1 ?
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References
E. Cartan, La deformation des hypersurfaces dans L’espace conforme reel à n ≥ 5 dimensions, Bull. Soc. Math. France 45 (1917), 57–121.
S.S. Chern, On a conformai invariant of three-dimensional manifolds, in Aspects of Mathematics and its Applications, Elsevier 1986.
M. do Carmo, M. Dajzer and F. Mercuri, Compact conformally flat hypersurfaces, Trans. Amer. Math. Soc. 288 (1985), 189–203.
A. Garsia, The calculation of conformai parameters for some imbedded Riemann surfaces, Pac. J. Math. 10 (1960), 121–165.
A. Garsia, An imbedding of closed Riemann surfaces in Euclidean space, Comm. Math. Helv. 35 (1961), 93–110.
M.W. Hirsch, Differential topology, Springer 1976.
A. Marden, Schottky groups and circles, in Contributions to Analysis, Acad. Press 1974.
H. Reckziegel, Completeness of curvature surfaces of an isometric immersion, J. Diff. Geom. 14 (1979), 7–20.
R. Rüedy, Embeddings of open Riemann surfaces, Comment. Math. Helv. 46 (1971), 214–225.
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© 1988 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Pinkall, U. (1988). Compact Conformally Flat Hypersurfaces. In: Kulkarni, R.S., Pinkall, U. (eds) Conformal Geometry. Aspects of Mathematics / Aspekte der Mathematik, vol 12. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-90616-8_8
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DOI: https://doi.org/10.1007/978-3-322-90616-8_8
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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Online ISBN: 978-3-322-90616-8
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