@article{AIHPC_1984__1_5_351_0, author = {Deturck, Dennis M. and Koiso, Norihito}, title = {Uniqueness and non-existence of metrics with prescribed {Ricci} curvature}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {351--359}, publisher = {Gauthier-Villars}, volume = {1}, number = {5}, year = {1984}, mrnumber = {779873}, zbl = {0556.53026}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1984__1_5_351_0/} }
TY - JOUR AU - Deturck, Dennis M. AU - Koiso, Norihito TI - Uniqueness and non-existence of metrics with prescribed Ricci curvature JO - Annales de l'I.H.P. Analyse non linéaire PY - 1984 SP - 351 EP - 359 VL - 1 IS - 5 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1984__1_5_351_0/ LA - en ID - AIHPC_1984__1_5_351_0 ER -
%0 Journal Article %A Deturck, Dennis M. %A Koiso, Norihito %T Uniqueness and non-existence of metrics with prescribed Ricci curvature %J Annales de l'I.H.P. Analyse non linéaire %D 1984 %P 351-359 %V 1 %N 5 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1984__1_5_351_0/ %G en %F AIHPC_1984__1_5_351_0
Deturck, Dennis M.; Koiso, Norihito. Uniqueness and non-existence of metrics with prescribed Ricci curvature. Annales de l'I.H.P. Analyse non linéaire, Volume 1 (1984) no. 5, pp. 351-359. http://archive.numdam.org/item/AIHPC_1984__1_5_351_0/
[Be] Géométrie riemannien en dimension 4, Cedic Fernand Nathan, Paris, 1981. | MR
,[BK] « Curvature operators: pinching estimates and geometric examples », Ann. Scient. Ec. Norm. Sup., 4e série, t. 11, 1978, p. 71-92. | Numdam | MR | Zbl
and ,[C1] « Extremal Kähler metrics », in Seminar on Differential Geometry, S. T. Yau, ed., Annals of Math Study 102, Princeton U. Press, 1982, p. 259-290. | MR | Zbl
,[C2] « Métriques Kählériennes et fibrés holomorphes », Ann. Sci. Ec. Norm. Sup., 4e série, t. 12, 1979, p. 269-294. | Numdam | MR | Zbl
,[D] « Metrics with prescribed Ricci curvature » in Seminar on Differential Geometry, S. T. Yau ed., Annals of Math Study 102, Princeton U. Press, 1982, p. 525-537. | MR | Zbl
,[EL] « A report on harmonic maps », Bull. London Math. Soc., t. 10, 1978, p. 1-68. | MR | Zbl
and ,[H] The Ricci curvature equation, preprint, MSRI Berkeley, 1983. | MR
,[KN1] Foundations of Differential Geometry, vol. 1, Wiley-Interscience, New York, 1963. | MR | Zbl
and ,[KN2] Foundations of Differential Geometry, vol. 2, Wiley-Interscience, New York, 1969. | MR | Zbl
and ,[M] « Curvatures of left-invariant metrics on Lie groups », Adv. in Math., t. 21, 1976, p. 293-329. | MR | Zbl
,