Functional Analysis and Its Applications

April 1968, Volume 2, Issue 2, pp 97–105 | Cite as

Riemannian spaces with exceptional holonomy groups

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• Authors and affiliations

• D. V. Alekseevskii

Article

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• 44 Citations

Keywords

Functional Analysis Riemannian Space Holonomy Group Exceptional Holonomy 

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Literature Cited

1. 1.
   M. Berger, "Sur les groupes d'holonomie des variétés á connexions affines et des varietes riemanniennes," Bull. Soc. Math. France,83, 279–330 (1955).Google Scholar
2. 2.
   M. Berger, "Remarques sur les groups d'holonomie des variétés riemanniennes," C. r. Acad. Sci.,262, 1316–1318 (1966).Google Scholar
3. 3.
   E. Bonan, "Sur les variétés riemanniennes á groupe d'holonomie. G₂ ou Spin (7)," C. r. Acad. Sci.,262, 127–129 (1966).Google Scholar
4. 4.
   J. N. Goldberg and R. P. Kerr, "Application of the holonomy group to Petrov classification," J. Math. Phys.,2, 327–332 (1966).Google Scholar
5. 5.
   J. A. Wolf, "Complex homogeneous contact manifolds and quaternionic symmetric spaces," J. Math. Mech.,14, 1033–1047 (1965).Google Scholar

Copyright information

© Consultants Bureau 1968

Authors and Affiliations

• D. V. Alekseevskii

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