F. Tomi and A. J. Tromba 1. Extreme curves bound an embedded minimal surface of the disk type, Math. Z., 158 (1978), 137-145. A. J. Tromba 1. On the number of simply connected minimal surfaces spanning a curve, Mem. Amer. Math.
1985, D. Hoffman and W. Meeks, [HoMe1], proved that Costa's surface was embedded; this surface is now known as the Costa-Hoffman-Meeks surface. Moreover, Hoffman and Meeks showed that Costa's surface was just the first in a family of ...
Minimal Surfaces
This book starts with the classical theory of minimal surfaces and ends up with current research topics.
Minimal hypercones and C*-minimizers for a singular variational problem. Indiana Univ. Math.J. 37,841-863 (1988) 6. ... Minimal immersions of spheres into spheres. Ann. Math.93, 43–62 (1971) Dombrowski, P. 1.
... 1905 (cf. also Dombrowski [2], and General investigations of curved surfaces. Raven Press, New York, 1965) Gergonne, J.D. 1. Questions proposées/résolues. Ann. Math. Pure Appl. 7, 68, 99–100, 156, 143–147 (1816) Gerhardt, C. 1.
Kluwer Academic Publishers Group, Dordrecht, 1989. Translated from the Russian by R. A. M. Hoksbergen. 89. K. Cieliebak and Y. Eliashberg. From Stein to Weinstein and back. Symplectic geometry of affine complex manifolds, ...
278-279, 289–290, 293, 365,423 Darboux, G. 52, 133, 135, 149, 194, 277 Davids, N. 365 De Giorgi, E. 86, 284 Dierkes, U. 292; 87,278, 424–426 Do Carmo, M. 48, 88 Dombrowski, P. 52, 80 Douglas, J. 9,340; 221, 277 Dubrovin, B. A. 48 Dziuk, ...
Sul problema di Plateau, I & II. Atti. Accad. Naz. Lincei 24, 333–339, 393-398 (1936) (cf. also: Opere scelte, Vol. III, 328–341), Zbl. 16, 264 Tromba, A.J. 1. On the number of simply connected minimal surfaces spanning a curve. Mem. 2.
Regularity of Minimal Surfaces In this chapter we can finally prove that partial regularity of minimal surfaces; namely we show that the reduced boundary 6*E is analytic and the only possible singularities must occur in 6E – 6*E. Our ...