Invariant Metrics on Cohomogeneity One Manifolds

Geometriae Dedicata

Volumn 77, Issue 1, 1999, Pages 77-110

  Verdiani, Luigi ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Cohomogeneity one; Isometric actions

Indexed keywords

EID: 0002198905     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005115203212     Document Type: Article

References (9)

1. Alekseevski, A. V. and Alekseevski, D. V.: Riemannian G manifolds with one dimensional orbit space, Ann. Global Anal. Geom. 11 (1993), 197-211.
2. Alekseevski, A. V. and Alekseevski, D. V.: G-manifolds with one dimensional orbit space, Adv. in Soviet Math 8 (1992), 1-31.
3. Berard Bergery, L.: Sur de nouvelles varietes riemanniennes d'Einstein, Inst. Elie Cartan 6 (1983), 1-60.
4. Besse, A.: Einstein Manifolds, Springer, Berlin, 1987.
5. Borel, H.: Some remarks about Lie groups transitive on sphere and tori, Bull. Amer. Math. Soc. 55 (1949), 580-587.
6. Bredon, G. E.: Introduction to Compact Transformation Groups, Academic Press, New York 1972.
7. O'Neill, B.: The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469.
8. O'Neill, B.: Semi-Riemannian Geometry, Academic Press, New York, 1983.
9. Ziller, W.: Homogeneous Einstein metrics on spheres and projective spaces, Math. Ann. 259 (1982), 351-358.