A Gauss-Bonnet formula for discrete arithmetically defined groups

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1. [1] A. BOREL, Introduction aux groupes arithmétiques, Hermann, Paris, 1969. Zbl0186.33202MR39 #5577
2. [2] A. BOREL et J. TITS, Groupes réductifs, Publ. Math., 27, Bures-sur-Yvette, I.H.E.S., 1965, p. 55-150. Zbl0145.17402MR34 #7527
3. [3] N. BOURBAKI, Groupes et algèbres de Lie, chap. 4-6, Hermann, Paris, 1968. 
4. [4] S. S. CHERN, On the curvatura integra on a Riemannian manifold (Ann. of Math., vol. 46, 1945, p. 674-684). Zbl0060.38104MR7,328c
5. [5] G. HARDER, Minkowskische Reduktionstheorie über Funktionenkörpern (Inv. math., vol. 7, 1969, p. 33-54). Zbl0242.20046MR44 #1667
6. [6] S. KOBAYASHI and K. NOMIZU, Foundations of differential geometry, I, II, Interscience publishers, New York, 1963, 1969. Zbl0119.37502
7. [7] R. P. LANGLANDS, The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups (Proc. of Symp. Math., Amer. Math. Soc., Providence, 1966, p. 143-148). Zbl0218.20041MR35 #4226
8. [8] T. ONO, On algebraic groups and discontinuous subgroups (Nagoya Math. J., vol. 27, 1966, p. 279-322). Zbl0166.29802MR33 #7342
9. [9] M. S. RAGHUNATHAN, A note on quotients of real algebraic groups by arithmetic subgroups (Inv. math., vol. 4, 1968, p. 318-233). Zbl0218.22015MR37 #5894
10. [10] J.-P. SERRE, Cohomologie des groupes discrets (C. R. Acad. Sc., t. 268, 1969, p. 268-271). Zbl0174.31301MR39 #2769
11. [11] C. L. SIEGEL, Gesammelte Werke, Bd. III, s. 443-458. 
12. [12] J. TITS, Groupes simples et géométries associées, Tableau 4 (Proc. Int. Congress of Mathematicans, 1962, p. 197-221). Zbl0131.26502
13. [13] A. WEIL, Adeles and algebraic groups, Lecture notes, Princeton, 1961. 
14. [14] A. WEIL, Basic algebraic number theory, Springer Verlag, New York, 1967. Zbl0176.33601MR38 #3244

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