Maximal toral action on aspherical manifolds Γ_??_G/K and G/H

Tsuyoshi WATABE

doi:10.2969/jmsj/04040629

Maximal toral action on aspherical manifolds Γ_??_G/K and G/H

Tsuyoshi WATABE

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JOURNAL FREE ACCESS

1988 Volume 40 Issue 4 Pages 629-645

DOI https://doi.org/10.2969/jmsj/04040629

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Published: 1988 Received: September 11, 1985 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : Maximal toral action on aspherical manifolds Γ_??_G/K and G/H
Right : Maximal toral action on aspherical manifolds Γ_??_G/K and G/H

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. Auslander, An exposition of the structure of solvmanifolds, Part I; Algebraic theory, Bull. Amer. Math. Soc., 79 (1973), 227-261.
2) L. Auslander and R. H. Szczarba, Vector bundles over tori and non-compact solvmanifolds, Amer. J. Math., 97 (1975), 260-281.
3) N. Bourbaki, Groupes et algebres de Lie, Chap. 1, 2 et 3, Herman, Paris, 1968.
4) P. E. Conner and F. Raymond, Actions of comapct Lie groups on aspherical manifolds, Topology of manifolds, Proc. Inst. Univ. of Geogia, Athens, 1970, pp. 227-264.
5) P. E. Conner and F. Raymond, Deforming homotopy equivalences to homeomorphisms in aspherical manifolds, Bull. Amer. Math. Soc., 83 (1977), 36-85.
6) V. V. Gorbatsevich, Three dimensional homogeneous spaces, Sibirsk Mat. Zh., 18 (1977), 280-293; English Transl, in Siberian Math. J., 18 (1977).
7) V. V. Gorbatsevich, The classification of four dimensional compact homogeneous spaces, Uspekhi Mat. Nauk, 32 (1977), no. 2, (1984), 207-208, (Russian).
8) V. V. Gorbatsevich, On aspherical homogeneous spaces, Mat. Sb., 100 (1974), 248-265, (Russian).
9) S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, New York, 1978.
10) K. B. Lee and F. Raymond, Geometric realization of group extension by the Seifert construction, Contemp. Math., 36 (1985), 367-425.
11) M. S. Raghunathan, Discrete subgroups of Lie groups, Springer, 1972.
12) F. Raymond and T. Vasques, 3-manifolds whose universal covering are Lie groups, Topology Appl., 12 (1981), 161-179.
13) O. Loos, Symmetric spaces I, Benjamin, New York, 1969.

Right : [1] L. Auslander, An exposition of the structure of solvmanifolds, Part I; Algebraic theory, Bull. Amer. Math. Soc., 79 (1973), 227-261.
[2] L. Auslander and R. H. Szczarba, Vector bundles over tori and non-compact solvmanifolds, Amer. J. Math., 97 (1975), 260-281.
[3] N. Bourbaki, Groupes et algebres de Lie, Chap. 1, 2 et 3, Herman, Paris, 1968.
[4] P. E. Conner and F. Raymond, Actions of comapct Lie groups on aspherical manifolds, Topology of manifolds, Proc. Inst. Univ. of Geogia, Athens, 1970, pp. 227-264.
[5] P. E. Conner and F. Raymond, Deforming homotopy equivalences to homeomorphisms in aspherical manifolds, Bull. Amer. Math. Soc., 83 (1977), 36-85.
[6] V. V. Gorbatsevich, Three dimensional homogeneous spaces, Sibirsk Mat. Zh., 18 (1977), 280-293; English Transl, in Siberian Math. J., 18 (1977).
[7] V. V. Gorbatsevich, The classification of four dimensional compact homogeneous spaces, Uspekhi Mat. Nauk, 32 (1977), no. 2, (1984), 207-208, (Russian).
[8] V. V. Gorbatsevich, On aspherical homogeneous spaces, Mat. Sb., 100 (1974), 248-265, (Russian).
[9] S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, New York, 1978.
[10] K. B. Lee and F. Raymond, Geometric realization of group extension by the Seifert construction, Contemp. Math., 36 (1985), 367-425.
[11] M. S. Raghunathan, Discrete subgroups of Lie groups, Springer, 1972.
[12] F. Raymond and T. Vasques, 3-manifolds whose universal covering are Lie groups, Topology Appl., 12 (1981), 161-179.
[13] O. Loos, Symmetric spaces I, Benjamin, New York, 1969.

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