@article{BSMF_1999__127_1_135_0,
author = {B\"ohm, Christoph},
title = {Non-compact cohomogeneity one {Einstein} manifolds},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {135--177},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {127},
number = {1},
year = {1999},
doi = {10.24033/bsmf.2345},
mrnumber = {2000h:53057},
zbl = {0935.53021},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2345/}
}
TY - JOUR AU - Böhm, Christoph TI - Non-compact cohomogeneity one Einstein manifolds JO - Bulletin de la Société Mathématique de France PY - 1999 SP - 135 EP - 177 VL - 127 IS - 1 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2345/ DO - 10.24033/bsmf.2345 LA - en ID - BSMF_1999__127_1_135_0 ER -
%0 Journal Article %A Böhm, Christoph %T Non-compact cohomogeneity one Einstein manifolds %J Bulletin de la Société Mathématique de France %D 1999 %P 135-177 %V 127 %N 1 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2345/ %R 10.24033/bsmf.2345 %G en %F BSMF_1999__127_1_135_0
Böhm, Christoph. Non-compact cohomogeneity one Einstein manifolds. Bulletin de la Société Mathématique de France, Volume 127 (1999) no. 1, pp. 135-177. doi: 10.24033/bsmf.2345
[1] , . - The geometry and dynamics of magnetic monopoles. - Princeton University Press, 1988. | Zbl | MR
[2] . - Classification of quaternionic spaces with a transitive solvable group of motions, Izv. Akad. Nauk SSSR Ser. Mat., t. 39, 1975; English transl. Math. USSR-Izv., t. 9, 1975, p. 297-339, p. 315-362. | Zbl
[3] , . - Structure of homogeneous riemannian spaces with zero Ricci curvature, Funct. Analysis Appl., t. 9, 1975, p. 97-102. | Zbl | MR
[4] . - Sur de nouvelles variétés riemannienes d'Einstein, Inst. E. Cartan, t. 4, 1982, p. 1-60. | Zbl | MR
[5] . - Einstein Manifolds. - Springer-Verlag, Berlin Heidelberg, 1987. | Zbl | MR
[6] . - Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces, Invent. Math., t. 134, 1998, p. 145-176. | Zbl | MR
[7] . - Non-existence of cohomogeneity one Einstein metrics, to appear in Math. Ann. | Zbl
[8] , . - Curvature operators: Pinching estimates and geometric examples, Ann. Sci. École Norm. Sup., t. 11, 1978, p. 71-92. | Zbl | MR | Numdam
[9] . - Introduction to compact transformation groups. - Acad. Press, New York, London, 1972. | Zbl | MR
[10] , . - On the construction of some complete metrics with exceptional holonomy, Duke Math. J., t. 58, 1989, p. 829-850. | Zbl | MR
[11] . - A construction of nonhomogeneous Einstein metrics, Differential Geometry, Proc. Symp. Pure Math., t. 27, 1975, p. 17-24. | Zbl | MR
[12] . - Métriques kählériennes et fibrés holomorphes, Ann. Sci. École Norm. Sup., 4e série, t. 12, 1979, p. 269-294. | Zbl | MR | Numdam
[13] . - Sur une classe remarquable d'espaces de Riemann, Bull. Soc. Math. France, t. 54, 1926; t. 55, 1927, p. 114-134, p. 214-264. | JFM | Numdam
[14] . - Sur la structure des groupes de transformations finis et continus. - Thèse, Paris, 1894. | JFM
[15] , . - Lower bounds on Ricci curvature and the almost rigidity of warped products, Ann. of Math., t. 144, 1996, p. 189-237. | Zbl | MR
[16] , . - On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay, Invent. Math., t. 118, 1994, p. 493-571. | Zbl | MR
[17] , . - Kähler-Einstein manifolds of cohomogeneity one, to appear in Math. Ann. | Zbl
[18] , . - Asymptotically flat self-dual solutions to Euclidean gravity, Phys. Lett. B, t. 74, 1978, p. 249-251.
[19] . - Lecture Notes on Symmetric spaces. - Preprint, 1997.
[20] , . - The Initial Value Problem for Cohomogeneity One Einstein Metrics, to appear in J. Geom. Analysis. | Zbl
[21] , . - Non-rotational minimal spheres and minimizing cones, Comm. Math. Helv., t. 60, 1985, p. 247-269. | Zbl | MR
[22] , , . - Riemannian Geometry. - Springer Verlag, New York, Berlin, Heidelberg, 1990. | Zbl | MR
[23] , , . - Einstein metrics on S3, R3 and R4 bundles, Comm. Math. Phys., t. 127, 1990, p. 529-553. | Zbl | MR
[24] . - Gravitational Instantons, Phys. Lett. A, t. 60, 1977, p. 81-83. | MR
[25] . - Non-compact homogeneous Einstein spaces, Invent. Math., t. 133, 1998, p. 279-352. | Zbl | MR
[26] . - On some types of topological spaces, Ann. of Math., t. 50, 1949, p. 507-558. | Zbl | MR
[27] . - Einstein metrics on principal fibre bundles, J. Differential Geometry, t. 8, 1973, p. 599-614. | Zbl | MR
[28] . - Sur les points singuliers des équations différentielles, L'Enseignement Math., t. 20, 1974, p. 147-176. | Zbl | MR
[29] . - Morse Theory. - Annals of Mathematics Studies, Princeton University Press, 1963. | Zbl | MR
[30] . - Curvatures of Left Invariant Metrics on Lie Groups, Advances in Math., t. 21, 1976, p. 293-329. | Zbl | MR
[31] , . - Groups transitive on the n-dimensional torus, Bull. Amer. Math. Soc., t. 49, 1943, p. 455-456. | Zbl | MR
[32] , . - Einstein metrics on quaternionic line bundles, Class. Quantum Grav., t. 3, 1986, p. 249-259. | Zbl | MR
[33] , . - Inhomogeneous Einstein metrics on complex line bundles, Class. Quantum Grav., t. 4, 1987, p. 213-225. | Zbl | MR
[34] . - Differential equations and Dynamical Systems, TAM 7. - Springer-Verlag, New York, Berlin, Heidelberg.
[35] . - Ricci-flat metrics on the complexification of a compact rank one symmetric space, Manu. Math., t. 80, 1993, p. 151-163. | Zbl | MR
[36] . - Einstein metrics on bundles. - Ph. D. thesis, McMaster Univ., 1996.
[37] , . - Einstein metrics on S2-bundles, Math. Ann., t. 310, 1998, p. 497-526. | Zbl | MR
[38] , . - Existence and non-existence of homogeneous Einstein metrics, Invent. Math., t. 84, 1986, p. 177-194. | Zbl | MR
[39] , . - On isotropy irreducible Riemannian manifolds, Acta Math., t. 166, 1991, p. 223-261. | Zbl | MR
[40] . - Spaces of constant curvature. - McGraw-Hill Series in Higher Math., 1967. | Zbl | MR
[41] . - The structure of isotropy irreducible homogeneous spaces, Acta Math., t. 120, 1968 p. 59-148; correction, Acta Math., t. 152, 1984, p. 141-142. | Zbl | MR
[42] . - Homogeneous Einstein Metrics on Spheres and Projective Spaces, Math. Ann., t. 259, 1982, p. 351-358. | Zbl | MR
Cited by Sources:






