54
1 From Riemann manifolds to Riemann manifolds
Table 1.4. Conformal mapping M
n
l → M
n
r , commented references.
W. Blaschke, K. Leichtweiß (1973)
Two-dimensional conformal mapping,
Korn–Lichtenstein equations: n = 2.
J. P. Bourguignon (1970)
n-dimensional conformal mapping,
Weyl curvature: n ≥ 3.
L. P. Eisenhart (1949)
n-dimensional conformal mapping,
Weyl curvature: n = arbitrary.
A. Finzi (1922)
Three-dimensional conformal mapping,
generalized Korn–Lichtenstein equations: n = 3.
C. F. Gauss (1822)
Classical contribution on two-dimensional
conformal mapping: n = 2.
C. F. Gauss (1816–1827)
Classical contribution on conformal mapping
of the ellipsoid-of-revolution.
E. Grafarend, R. Syffus (1998c)
n-dimensional conformal mapping,
generalized Korn–Lichtenstein equations.
E. R. Hedrick, L. Ingold (1925a)
Analytic functions in three dimensions.
E. R. Hedrick, L. Ingold (1925b)
Laplace–Beltrami equations in three dimensions.
W. Klingenberg (1982)
Conformal mapping of the triaxial ellipsoid, elliptic coordinates.
R. S. Kulkarni (1969)
Curvature structures and conformal mapping.
R. S. Kulkarni (1972)
Conformally flat manifolds.
R. S. Kulkarni, U. Pinkall (eds.) (1988) Conformal geometry.
J. Lafontaine (1988)
Conformal mapping “from the Riemann viewpoint”.
J. Liouville (1850)
Three-dimensional conformal mapping.
G. Ricci (1918)
Conformal mapping.
J. A. Schouten (1921)
n-dimensional conformal mapping, Weyl curvature.
H. Weyl (1918)
Conformal mapping.
H. Weyl (1921)
Conformal mapping.
A. I. Yanushauskas (1982)
three-dimensional conformal mapping,
generalized Korn–Lichtenstein equations.
J. Zund (1987)
three-dimensional conformal mapping,
generalized Korn–Lichtenstein equations.