Article PDF
Avoid common mistakes on your manuscript.
References
D.V. Alekseevskii, Groups of transformations of Riemannian spaces. Mat. Sbornik89 (131) (1972) no 2 and Math. USSR Sbornik18 (1972) no 2, 285–301
D.V. Alekseevskii, Uspehi Mat. Nauk28 (1973) no 5, 225–226 (Russian)
N. Bourbaki, Topologie Générale Ch III. Hermann Paris
J. Lelong-Ferrand, Transformations conformes et quasi-conformes des variétés riemanniennes compactes. Mem. Acad. Royale de Belgique 39 no 5 (1971) 1–44; summed up in C.R.A.S. Paris269 (1969) 583–586
J. Lelong-Ferrand, Invariants conformes globaux sur les variétés riemanniennes. J. Diff. Geo.8 (1973), 487–510; summed up in C.R.A.S. Paris275 (1972) 119–122
J. Lelong-Ferrand, Construction de modules de continuité dans le cas limite de Soboleff et applications à la géométrie différentielle. Arch. for Rat. Mech. and An. 52, no 4 (1973) 297–311; summed up in C.R.A.S. Paris, 276–300
J. Lelong-Ferrand, Geometrical interpretation of scalar curvature and regularity of conformal homeomorphisms. Differential geometry and relativity. D. Reidel, Dordrecht 1976, 91–105
J. Lelong-Ferrand, Regularity of conformal mappings of Riemannian manifolds. Proc. Romanian Finnish Seminar Bucharest 1976, Lecture Notes no 743 (1979), Springer-Verlag, 197–203
J. Lelong-Ferrand, Sur un lemme d'Aleksevskii relatif aux transformations conformes. C.R.A.S. Paris,284 (1977) 121–123
J. Ferrand, Le groupe des automorphismes conformes d'une variété de Finsler compacte. C.R.A.S. Paris291 (1980) 209–210
J. Ferrand, Conformal capacities and conformally invariant functions on Riemannian manifolds (to appear in Geometriae Dedicata). Summed up in C.R.A.S. Paris t. 218 Série I (1994) 213–216
J. Ferrand, Convergence and degeneration of quasiconformal maps of Riemannian manifolds (to appear,in J. Analyse Math.)
K.R. Gutschera, Invariant metrics for groups of conformal transformations (preprint)
S. Kobayashi and K. Nomizu, Foundations of differential geometry, Vol. I, Interscience publishers, London 1963
N.H. Kuiper, On conformally-flat spaces in the large. Ann. Math.50 (1949) 916–924
J. Lafontaine, The theorem of Lelong-Ferrand and Obata. Conformal geometry, Ed. by S. Kulkarni and U. Pinkall, Max Planck Inst. für Math. Bonn (1988)
G.D. Mostow, Quasiconformal mappings inn-space and the rigidity of hyperbolic space forms. Inst Hautes Etudes Sci. Publi. Math.34 (1968) 53–104
S.B. Myers and N. Steenrod, The group of isometries of a Riemannian manifold. Ann. Math.40 (1939) 400–416
M. Obata, Conformal transformations of Riemannian manifolds. J. Diff. Geo.6 (1971) 247–258
M. Obata, The conjectures about conformal transformations. J. Diff. Geo.6 (1971) 247–258
P. Pansu, Distances conformes et cohomologieL n. Publ. Math. Université Pierre et Marie Curie, Paris, no 92 (Géometrie Riemannanienne conforme) (1990) 69–77
J. Väisälä, Lectures onn-dimensional quasiconformal mappings. Lecture Notes in Math. Vol. 229, Springer-Verlag 1971
M. Vuorinen, Conformal geometry and quasiregular mappings. Lecture Notes in Math. Vol. 1319, Springer-Verlag 1988