References
Borel, A.: Linear algebraic groups. New York: W. A. Benjamin Inc. 1969
Bourbaki, N.: Groupes et algebres de Lie chapitres 4, 5 et 6. Paris: Hermann 1968
Cartan, H.: Quotient d'un espace analytique par un groupe d'automorphisms, Algebraic geometry and topology (A symposium in honour of S. Lefschets) pp. 90–102. Princeton University Press 1957
Douady, A.: Le probleme des modules pour les varietes analytic complexes, Seminaire Bourbaki, Exposé277, 1964–1965
Griffiths, Ph. A.: The extension problem for compact submanifolds of complex manifolds I, Proceedings of the conference on complexe analysis, Minneapolis 1964. Berlin-Heidelberg-New York: Springer 1965
Grothendieck, A.: A general theory of fibre spaces with structure sheaf. University of Kansas Report No. 4 (1955)
Grothendieck, A.: Sur la classification des fibres holomorphes sur la sphere de Riemann. Amer. Jour. of Math.79, 121–138 (1957)
Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962
Husemoller, D.: Fibre bundles, New York: McGraw-Hill Book Company 1966
Kaup, W.: Holomorphic mappings of complex spaces. Institute Nazionale di Alta Mathematica Symposia Mathematica, Vol. II, (1968)
Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Amer. J. Math.81, 973–1032 (1959)
Kuranishi, M.: New proof for the existence of locally complete families of complex analytic structures. Proceedings of the conference on complex analysis, Minneapolis 1964, Berlin-Heidelberg-New York: Springer 1965
Kuranishi, M.: A note on families of complex structures. Global Analysis: Papers in Honour of K. Kodaira, University of Tokyo Press and Princeton University Press 1969
Koszul, J. L.: Lectures on fibre bundles and differential geometry. Tata Institute of Fundamental Research, 1960
Koszul, J. L., Malgrange, B.: Sur certaine structures fibres complexes, Archiv der Mathematik9, 102–109 (1958)
Malgrange, B.: Lectures on the theory of functions of several complex variables, Tata Institute of Fundamental Research, 1958
Maunder, C. R. F.: Algebraic Topology. London: Van Nostrand Reinhold Company 1970
Mumford, D.: Geometric invariant theory, Berlin-Heidelberg-New York: Springer 1965
Narasimhan, M. S., Seshadri, C. S.: Holomorphic vector bundles on a compact Riemann Surface. Math. Ann.155, 69–80 (1964)
Narasimhan, M. S., Seshadri, C. S.: Stable and unitary vector bundles on a compact Riemann surface. Ann. Math.82, 540–567 (1965)
Narasimhan, M. S., Simha, R. R.: Manifolds with ample canonical class. Inventiones math.5, 120–128 (1968)
Serre, J. P.: Representations Lineaires et espaces homogenes Kähleriens des groupes de Lie compacts. Seminaire Bourbaki, Exposé100 (1954)
Ramanan, S.: Holomorphic vector bundles on homogeneous spaces. Topology5, 159–177 (1966)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ramanathan, A. Stable principal bundles on a compact Riemann surface. Math. Ann. 213, 129–152 (1975). https://doi.org/10.1007/BF01343949
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01343949