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A simple proof of Borel's density theorem

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References

  1. Borel, A.: Density properties for certain subgroups of semisimple groups without compact components. Ann. of Math. (2)72, 179–188 (1960)

    Google Scholar 

  2. Dani, S.G.: Kolmogorov automorphisms on homogeneous spaces. Amer. J. Math.98, 119–163 (1976)

    Google Scholar 

  3. Dani, S.G.: On affine automorphisms with a hyperbolic fixed point. Topology (to appear)

  4. Furstenberg, H.: A note on Borel's density theorem. Proc. Amer. Math. Soc.55, 209–212 (1976)

    Google Scholar 

  5. Helgason, S.: Differential geometry and symmetric spaces. New York-London: Academic Press 1962

    Google Scholar 

  6. Hopf, E.: Ergodic theory and the geodesic flow on surfaces of constant negative curvature. Bull. Amer. Math. Soc.77, 863–877 (1971)

    Google Scholar 

  7. Kuiper, N.H.: Topological conjugacy of real projective transformations. Topology15, 13–22 (1976)

    Google Scholar 

  8. Mautner, F.: Geodesic flows on symmetric Riemann spaces. Ann. of Math. (2)65, 416–431 (1957)

    Google Scholar 

  9. Moore, C.C.: Ergodicity of flows on homogeneous spaces. Amer. J. Math.88, 154–178 (1966)

    Google Scholar 

  10. Moskowitz, M.: On the density theorems of Borel and Furstenberg. Ark. Math.16, 11–27 (1978)

    Google Scholar 

  11. Raghunathan, M.S.: Discrete subgroups of Lie groups. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  12. Raghunathan, M.S.: Discrete groups andQ-structures on semisimple Lie groups. In: Discrete subgroups of Lie groups and applications to moduli. Proceedings of a Colloquium (Bombay 1973), pp. 225–321. Oxford-London: Oxford University Press 1975

    Google Scholar 

  13. Sullivan, D.: On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. In: Proceedings of the Stony Brook Conference on Kleinian groups and Riemann surfaces (New York 1978) (to appear)

  14. Tits, J.: Free subgroups of linear groups. J. Algebra20, 250–270 (1972)

    Google Scholar 

  15. Wang, S.P.: On density properties of locally compact groups. Ann. of Math. (2)94, 325–329 (1971)

    Google Scholar 

  16. Wolf, J.A.: Spaces of constant curvature. New York: McGraw Hill 1967

    Google Scholar 

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  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005, Bombay, India

    Shrikrishna G. Dani

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  1. Shrikrishna G. Dani
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Dani, S.G. A simple proof of Borel's density theorem. Math Z 174, 81–94 (1980). https://doi.org/10.1007/BF01215084

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