Abstract
The treatises of Darboux (1842–1917) and Bianchi (1856–1928) on surface theory are among the great works in the mathematical literature. They are:
G. Darboux, Théorie générale des surfaces, Tome 1 (1887), 2 (1888), 3 (1894), 4 (1896), and later editions and reprints.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bryant, R., Chern, S., Griffiths, P.A. (1990): Exterior differential systems. Proc. of 1980 Beijing DD-Symposium (1980), 219–338 or Bryant-Chern- Gardner-Goldschmidt-Grifliths, Exterior Differential Systems, Springer
Chern, S. (1989): Deformation of surfaces preserving principal curvatures. Differential geometry and complex analysis, volume in memory of H. Rauch. Springer, 1984, pp. 155–163, or Chern, selected papers, vol. 4, pp. 95–103, Springer
Chern, S., Wolfson, J. (1989): Harmonic maps of the two-sphere into a complex Grassmann manifold, II. Annals of Mathematics 125 (1987) 301–335 or S. Chern, selected papers, vol. 4, p. 189–223, Springer
Hopf, H. (1983): Differential geometry in the large, part. II. Lecture notes in mathematics, vol. 1000. Springer
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Chern, SS. (1991). Surface Theory with Darboux and Bianchi. In: Hilton, P., Hirzebruch, F., Remmert, R. (eds) Miscellanea Mathematica. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76709-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-76709-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76711-1
Online ISBN: 978-3-642-76709-8
eBook Packages: Springer Book Archive