References
Alekseevskiî, D.V.: Conjugacy of polar factorizations of Lie groups. Mat. Sb.13, 12–24 (1971); English translation: Math. USSR-Sb.84, 14–26 (1982)
Alekseevskii, D.V.: Homogeneous Riemannian spaces of negative curvature. Mat. Sb.25, 87–109 (1975); English translation: Math. USSR-Sb96, 93–117 (1975)
Ancochea Bermudez, J.M., Goze, M.: Classification des algèbres de Lie nilpotents complexes de dimension 7. Arch. Math.52, 175–185 (1989)
Azencott, H., Wilson, E.: Homogeneous manifolds with negative curvature I. Trans. Am. Math. Soc.215, 323–362 (1976)
Azencott, R., Wilson, E.: Homogeneous manifolds with negative curvature II. Mem. Am. Math. Soc.8, (1976)
Besse, A.: Einstein Manifolds. Berlin Heidelberg New York: Springer 1987
Boggino, J.: Generalized Heisenberg groups and solvmanifolds naturally associated. Rend. Semin. Mat., Torino43, 529–547 (1985)
Cartan, E.: Sur les domaines bornés homogènes de l'éspace den variables complexes. Abh. Math. Semin. Univ. Hamburg11, 116–162 (1936)
Damek, E.: Left invariant degenerate elliptic operators on semidirect extensions of homogeneous groups. Stud. Math.89, 169–196 (1987)
D'Atri, J., Dotti Miatello, I.: A characterization of bounded symmetric domains by curvature, Trans. Am. Math. Soc.276, 531–540 (1983)
Deloff, E.: Naturally reductive metrics and metrics with volume preserving geodesic symmetries on NC-Algebras. New Brunswick: Thesis, Rutgers 1979
Dixmier, J., Lister, W.G.: Derivations of nilpotent Lie algebras. Proc. Am. Math. Soc.8, 155–158 (1957)
Dotti Miatello, I.: Ricci curvature of left invariant metrics on solvable unimodular Lie groups. Math. Z.180, 257–263 (1982)
Eberlein, P.: Structure of manifolds of nonpositive curvature. In: Proceedings of a Conf. on Diff. Geom. and Global Analysis. Berlin Heidelberg New York: Springer 1985
Heintze, E.: On homogeneous manifolds of negative curvature. Math. Ann.211, 23–34 (1974)
Kaplan, A.: Riemannian nilmanifolds attached to Clifford modules. Geom. Dedicata11, 127–136 (1981)
Kowalski, O., Vanhecke, L.: Opérateurs différentiels invariants et symétries géodesiques préservant le volume. C.R. Acad. Sci. Paris, Sér. I Math.296, 1001–1003 (1983)
Magnin, L.: Sur les algèbres de Lie nilpotentes de dimension ≦7. J. Geom. Phys.3, 119–144 (1986)
Nakajima, K.: Onj-algebras and homogeneous Kähler manifolds. Hokkaido Math. J.15, 1–20 (1986)
Pyatetskii-Shapiro, I.: The geometry and classification of bounded homogeneous domains. Russ. Math. Surv.20, 1–48 (1965)
Simons, J.: On transitivity of holonomy systems. Ann. Math., II. Ser.76, 213–234 (1962)
Wolter, T.: Homogene Mannigfaltigkeiten nichtpositiver Krümmung. Zürich: Thesis 1989
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wolter, T.H. Einstein Metrics on solvable groups. Math Z 206, 457–471 (1991). https://doi.org/10.1007/BF02571355
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02571355