Uniqueness and globality of the Liouville formula for entire solutions of ∂2logλ/∂z∂z̄ + λ/2 = 0

Archiv der Mathematik

Volumn 80, Issue 5, 2003, Pages 501-506

  Brito, Francisco ^a   Leite, Maria Luiza ^a  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042414122     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0481-1     Document Type: Article

References (9)

1. M.S. BERGER, Constant scalar curvature metrics for complex manifolds. In: Proceedings of Symposia in Pure Mathematics. Amer. Math. Soc. XXVII, part 2, 153-170 (1975).
2. F. BRITO, M. L. LEITE and V. SOUZA-NETO, Revisiting the connection between minimal surfaces and solutions of the Liouville equation. Preprint 2001.
3. M. DO CARMO, Differential geometry of curves and surfaces, page 311, Englewood Cliffs 1976.
4. u = 0 in a punctured disk. Pacific J. Math. 163, 269-276 (1994).
5. 2 = 0. J. Math. Pures Appl. 36, 71-72 (1853).
6. R. NEVANLINNA and V. PAATERO, Introduction to Complex Analysis, page 55, Ontario 1969.
7. J. SCHMID-BUROK, Finite amplitude density variations in a self-gravitating isothermal gas layer. Astrophys. J. 149, 727-729 (1967).
8. J. T. STUART, On finite amplitude oscillations in laminar mixing layers. J. Fluid Mech. 29, 417-439 (1967).
9. G. W. WALKER, Some problems illustrating the forms of nebulæ Proc. Roy. Soc. 91, 410-420 (1915).