Publications of Patrick Eberlein

Current information as of January, 2005

    Books

  1. Geometry of nonpositively curved manifolds , Chicago Lectures in Mathematics, University of Chicago Press, 1996, 449 pages.
    Journal articles

  1. " Manifolds admitting no metric of constant negative curvature " , Jour. Diff. Geom. , 5 (1971) , 59-60.

  2. " Geodesic flow in certain manifolds without conjugate points " , Trans. Amer. Math. Soc. 167 (1972) , 151-170.

  3. " Geodesic flows on negatively curved manifolds , I " , Annals of Math. 95 (1972) , 492-510.

  4. " Product manifolds that are not negative space forms " , Mich. Math. Jour. 19 (1972) , 225-231.

  5. " Some properties of the fundamental group of a Fuchsian manifold " , Invent. Math. 19 (1973) , 5-13.

  6. " Geodesic flows on negatively curved manifolds , II " , Trans. Amer. Math. Soc. 178 (1973) , 57-82.

  7. " Visibility manifolds " , (with Barrett O'Neill) , Pac. Jour. Math. 46(1) (1973) , 45-109.

  8. " When is a geodesic flow of Anosov type ? , I " , Jour. Diff. Geom. 8 (1973) , 437-463.

  9. " When is a geodesic flow of Anosov type ? , II " , Jour. Diff. Geom. 8 (1973) , 565-577.

  10. " Cut locus of noncompact finitely connected surfaces without conjugate points " , Comment. Math. Helvet. 51 (1976) , 23-44.

  11. " Geodesics and ends in certain manifolds without conjugate points " , Memoirs Amer. Math. Soc. , Number 199 , (1978) , 1-111.

  12. " Horocycle flows on certain surfaces without conjugate points " , Trans. Amer. Math. Soc. 233 (1977) , 1-36.

  13. " Surfaces of nonpositive curvature " , Memoirs Amer. Math. Soc. , Number 218 , (1979) , 1-90.

  14. " Isometry groups of simply connected manifolds of nonpositive curvature " , (with Su-Shing Chen) , Ill. Jour. Math. 24(1) , (1980) , 73-103.

  15. " Lattices in manifolds of nonpositive curvature " , Annals of Math. 111 (1980) , 435-476.

  16. " A trace formula " , Lin. and Multilin. Alg. 9 (1981) , 231-236.

  17. " Isometry groups of simply connected manifolds of nonpositive curvature , II " , Acta Math. 149 (1982) , 41-69.

  18. " Geodesic rigidity in nonpositively curved manifolds " , Trans. Amer. Math. Soc. 268 (1981) , 411-443.

  19. " A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center " , Math. Annalen 260 (1982) , 23-29.

  20. " Isometry classes of lattices of nonpositive curvature and uniformly bounded volume " , (with Su-Shing Chen) , Bol. Soc. Brasil Mat. 13 (1982) , 25-44.

  21. " Rigidity of lattices of nonpositive curvature " , Erg. Th. Dynam. Sys. 3 (1983) , 47-85.

  22. " The Euclidean de Rham factor of a lattice of nonpositive curvature " , Jour. Diff. Geom. 18 (1983) , 209-220.

  23. " Structure of manifolds of nonpositive curvature , I " , (with M. Brin and W. Ballmann) , Annals of Math. 122 (1985) , 171-203.

  24. " The fundamental group of compact manifolds with nonpositive curvature " , (with W. Ballmann) , Jour. Diff. Geom. 25 (1987) , 1-22.

  25. " Structure of manifolds of nonpositive curvature " , Lecture Notes in Mathematics , vol. 1156 , Springer Verlag , (1985) , 86-153.

  26. " L-subgroups in spaces of nonpositive curvature " , Lecture Notes in Mathematics , vol. 1201 , Springer Verlag , (1986) , 41-88.

  27. " Manifolds of nonpositive curvature " , in Global Differential Geometry (edited by S. S. Chern) , MAA Studies in Mathematics , vol. 27 , 223-258.

  28. " Symmetry diffeomorphism group of a manifold of nonpositive curvature I " , Trans. Amer. Math. Soc. 309 (1988) , 355-373.

  29. " Symmetry diffeomorphism group of a manifold of nonpositive curvature , II " , Indiana Univ. Math. Jour. 37 (1988) , 735-752.

  30. " A differential geometric characterization of symmetric spaces of higher rank " , (with Jens Heber) , Publ. IHES. 71(1990) ,33-44.

  31. " Manifolds of Nonpositive Curvature " , (with U. Hamenstaedt and V. Schroeder) , Proc. Symp. Pure Math. 54 (1993) , part 3, 179-227.

  32. " Geometry of 2-step nilpotent groups with a left invariant metric " , Annales de l'Ecole Normale Superieure , 27 (1994) , 611-660.

  33. " Geometry of 2-step nilpotent groups with a left invariant metric , II " , Trans. Amer. Math. Soc. 343 (1994) , 805-828.

  34. " Conjugacy and rigidity for nonpositively manifolds of higher rank ", (joint with Chris Croke and Bruce Kleiner), Topology, 35 (1996), 273-286.

  35. " Quarter pinched homogeneous spaces of negative curvature " , (joint with Jens Heber) , Intern. Jour. Math. 7 (1996), 441-500.

  36. " Rational approximation in compact Lie groups and their Lie algebras ", preprint, 2000, 47 pages, PDF version

  37. " Rational approximation in compact Lie groups and their Lie algebras, II ", preprint, 2000, 39 pages, PDF version

  38. " Geodesic flows in manifolds of nonpositive curvature ", survey article for Proc. Symposia in Pure Math., vol. 69 (2001), 525-571. PDF version

  39. "Riemannian submersions and lattices in 2-step nilpotent Lie groups", Comm. Analysis and Geom., 11(2003), 441-488 PDF version. See also Appendix 1and Appendix 2

  40. " Left invariant geometry of Lie groups ",Cubo 6 (2004), no.1,427-510 PDF version

  41. " The moduli space of 2-step nilpotent Lie groups of type (p,q) ", Contemp. Math. 332(2003), 37-72 PDF version

  42. " Geometry of 2-step nilpotent Lie groups ", Modern Dynamical Systems and Applications, Cambridge University Press, 2004,67-101 PDF version

  43. " Two step nilpotent Lie groups arising from semisimple modules ", preprint, January 2005 PDF version

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January 11, 2005