no. 5
Existence of flat tori in analytic manifolds of nonpositive curvature
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 5, pp. 605-634. 
@article{ASENS_1991_4_24_5_605_0,
     author = {Bangert, V. and Schroeder, V.},
     title = {Existence of flat tori in analytic manifolds of nonpositive curvature},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {605--634},
     publisher = {Elsevier},
     volume = {Ser. 4, 24},
     number = {5},
     year = {1991},
     doi = {10.24033/asens.1638},
     mrnumber = {92k:53110},
     zbl = {0760.53032},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1638/}
}
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Bangert, V.; Schroeder, V. Existence of flat tori in analytic manifolds of nonpositive curvature. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 5, pp. 605-634. doi : 10.24033/asens.1638. http://archive.numdam.org/articles/10.24033/asens.1638/

[AS] M. Anderson and V. Schroeder, Existence of Flats in Manifolds of Nonpositive Curvature (Invent. Math., Vol. 85, 1986, pp. 303-315.). | MR | Zbl

[B] S. V. Buyalo, Euclidean Planes in Three-Dimensional Manifolds of Nonpositive Curvature (Mat. Zametki, Vol. 43, 1988, pp. 103-114 : translated in Math. Notes, Vol. 43, 1988, pp. 60-66). | MR | Zbl

[BBE] W. Ballmann, M. Brin and P. Eberlein, Structure of Manifolds of Nonpositive Curvature (Ann. Math., Vol. 122, 1985, pp. 171-203). | MR | Zbl

[BBS] W. Ballmann, M. Brin and R. Spatzier, Structure of Manifolds of Nonpositive Curvature II, (Ann. Math., Vol. 122, 1985, pp. 205-235). | MR | Zbl

[BE] W. Ballmann and P. Eberlein, Fundamental Groups of Manifolds of Nonpositive Curvature (J. Diff. Geom., Vol. 25, 1987, pp. 1-22). | MR | Zbl

[BGS] W. Ballmann, M. Gromov and V. Schroeder, Manifolds of Nonpositive Curvature, Birkhäuser, Basel-Boston, 1985. | MR | Zbl

[BM] E. Bierstone and P. D. Milman, Semianalytic and Subanalytic Sets (Inst. Hautes Études Sci. Publ. Math., Vol. 67, 1988, pp. 5-42). | Numdam | MR | Zbl

[BO] R. Bishop and B. O'Neill, Manifolds of Negative curvature (Trans. Am. Math. Soc., Vol. 145, 1969, pp. 1-49). | MR | Zbl

[E1] P. Eberlein, Geodesic Flow in Certain Manifolds Without Conjugate Points (Trans. Am. Math. Soc., Vol. 167, 1972, pp. 151-170). | MR | Zbl

[E2] P. Eberlein, Geodesic Rigidity in Compact Nonpositively Curved Manifolds (Trans. Amer. Math. Soc., Vol. 268, 1981, pp. 411-443). | MR | Zbl

[EO] P. Eberlein and B. O'Neill, Visibility Manifolds (Pac. J. Math., Vol. 46, 1973, pp. 45-109). | MR | Zbl

[G1] M. Gromov, Hyperbolic Manifolds, Groups and Actions, In : Riemann Surfaces and Related Topics : Proceedings of the 1978 Stony Brook Conference, I. KRA and B. MASKIT Eds. (Ann. Math. Stud., Vol. 97, Princeton Univ. Press, Princeton N.J. 1981). | MR | Zbl

[G2] M. Gromov, Hyperbolic Groups, In : Essays in Group Theory, S. M. GERSTEN Ed., Springer, 1987, pp. 75-263. | MR | Zbl

[GW] D. Gromoll and J. Wolf, Some Relations Between the Metric Structure and the Algebraic Structure of the Fundamental Group in Manifolds of Nonpositive Curvature (Bull. Am. Math. Soc., Vol. 77, 1971, pp. 545-552). | MR | Zbl

[HPS] M. W. Hirsch, C. C. Pugh and M. Shub, Invariant Manifolds (Lect. Notes Math., No. 583, Springer, 1977). | MR | Zbl

[LY] H.B. Lawson and S. T. Yau, Compact Manifolds of Nonpositive Curvature (J. Diff. Geom., Vol. 7, 1972, pp. 211-228). | MR | Zbl

[P] A. Preissmann, Quelques propriétés des espaces de Riemann (Comment. Math. Helv., Vol. 15, 1942-1943, pp. 175-216). | MR | Zbl

[S1] V. Schroeder, Existence of Immersed Tori in Manifolds of Nonpositive Curvature (J. Reine Angew. Math., Vol. 390, 1988, pp. 32-46). | MR | Zbl

[S2] V. Schroeder, Structure of Flat Subspaces in Low Dimensional Manifolds of Non-Positive Curvature (Manuscripta Math., Vol. 64, 1989, pp. 77-105). | MR | Zbl

[S3] V. Schroeder, A Cusp Closing Theorem (Proc. Amer. Math. Soc., Vol. 106, 1989, pp. 797-802). | MR | Zbl

[S4] V. Schroeder, Analytic Manifolds of Nonpositive Curvature with Higher Rank Subspaces (Arch. Math., Vol. 56, 1991, pp. 81-85). | MR | Zbl

[S5] V. Schroeder, Codimension One Flats in Manifolds of Nonpositive Curvature (Geom. Dedicata, Vol. 33, 1990, pp. 251-263). | MR | Zbl

[T] M. Tamm, Subanalytic sets in the Calculus of Variation (Acta Math., Vol. 146, 1981, pp. 167-199). | MR | Zbl

[Y] S. T. Yau, Problem Section. In : Seminar on Differential Geometry (Ann. Math. Stud., Vol. 102, Princeton Univ. Press, Princeton N.J. 1982). | MR | Zbl

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