Zero mean curvature surfaces with non-negative curvature in flat Lorentzian 4-spaces

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1982, 1999, Pages 631-636

  Alias, Luis J ^a,b   Palmer, Bennett ^a,b  

^a UNIVERSITY OF MURCIA   (Spain)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

geodesic balls; harmonic measure; Lorentz spaces; mean curvature; stationary surfaces

Indexed keywords

EID: 0007447640     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0327     Document Type: Article

References (6)

1. Alías, L. J. & Palmer, B. 1997 Deformations of stationary surfaces. Class. Quantum Grav. 14, 2107-2111.
2. Alías, L. J. & Palmer, B. 1998 Curvature properties of zero mean curvature surfaces in four dimensional Lorentzian space forms. Math. Proc. Camb. Phil. Soc. 124, 315-327.
3. Barbosa, J. L. and do Carmo, M. 1978 A proof of a general isoperimetric inequality for surfaces. Math. Z. 162, 245-261.
4. Fiala, F. 1940-41 Le problème des isopérimètres sur les surfaces ouvertes àcourbure positive. Comment. Math. Helv. 13, 293-346.
5. p and mean value properties of subharmonic functions on Riemannian manifolds. Acta Math. 153, 279-301.
6. Schoen, R. 1983 Estimates for stable minimal surfaces in three dimensional manifolds. In Seminar on minimal submanifolds (cd. E. Bombieri), pp. 111-126. Annals of Mathematics Studies. Princeton University Press.