This is a preview of subscription content, log in via an institution to check access.
References
Adams, J.F.: Lectures on Lie groups. New York, Amsterdam: Benjamin 1969
Adams, J.F., Mahmud, Z.: Maps between classifying spaces. Invent. math.35, 1–41 (1976)
Allday, C., Halperin, S.: Lie group actions on spaces of finite rank. Quart. J. Math. Oxf.29, 63–76 (1978)
Borel, A.: Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Ann. Math.57, 115–207 (1953)
Bott, R.: An application of the Morse theory the topology of Lie groups. Bull. Soc. Math. Fr.84, 251–282 (1956)
Bourbaki, N.: Groupes et algèbres de Lie. Chaps. 4–6. Paris: Hermann 1968
Freudenthal, H., Vries, H. de: Linear Lie groups. New York, London: Academic Press 1969
Friedlander, E.M.: Exceptonal isogenies and the classifying spaces of simple Lie groups. Ann. Math.101, 510–520 (1975)
Friedlander, E.M.: Maps between localized homogenous spaces. Topology16, 205–217 (1977)
Glover, H., Homer, W.: Self-maps of flag manifolds. Trans. AMS267, 423–434 (1981)
Glover, H., Mislin, G.: On the genus of generalized flag manifolds. Enseign. Math.27, 211–219 (1981)
Grove, K.: Isometry-invariant geodesics. Topology13, 281–292 (1974)
Grove, K., Halperin, S.: Contributions of rational homotopy theory to global problems in geometry. Publ. IHES56, 379–385 (1983)
Grove, K., Halperin, S., Vigué-Poirrier, M.: The rational homotopy theory of certain path spaces with applications to geodesics. Acta Math.140, 277–303 (1978)
Halperin, S.: Spaces whose rational homology and de Rham homotopy are both finite dimensional, in: Homotopie algébrique et algèbre locale. Astérisque113–114, 198–205 (1984)
Hilton, P., Mislin, G., Roitberg, J.: Localization of nilpotent groups and spaces. Amsterdam, Oxford: North-Holland 1975
Hoffman, M.: Endomorphisms of the cohomology of complex Grasmannians. Trans. AMS281, 745–760 (1984)
Hoffman, M.: On fixed point free maps of the complex flag manifold. Indiana Math. J.33, 249–255 (1984)
Hoffman, M., Homer, W.: On cohomology automorphisms of complex flag manifolds. Proc. AMS91, 643–648 (1984)
Hoffman, M.: Noncoincidence index of manifolds. Pac. J. Math.115, 373–383 (1984)
Humphreys, J.E.: Introduction to Lie algebras and representation theory. Berlin, Heidelberg, New York: Springer 1972
Shiga, H.: Rational homotopy type and self maps. J. Math. Soc. Japan31, 427–434 (1979)
Sullivan, D.: Geometric topology, part I. Localisation, periodicity and Galois symmetry. Mimeographed notes, M.I.T. 1970
Sullivan, D.: Infinitesimal computations in topology. Publ. IHES47, 269–331 (1977)
Sullivan, D., Vigué-Poirrier, M.: The homology theory of the closed geodesic problem. J. Differ. Geom.11, 633–644 (1976)
Vick, J.: Homology theory. New York: Academic Press 1973
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Papadima, S. Rigidity properties of compact Lie groups modulo maximal tori. Math. Ann. 275, 637–652 (1986). https://doi.org/10.1007/BF01459142
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01459142