Minimal surfaces based on the catenoid
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[1] W. Meeks,et al. Minimal surfaces bounded by convex curves in parallel planes , 1991 .
[2] R. Schoen. Uniqueness, symmetry, and embeddedness of minimal surfaces , 1983 .
[3] Brian White,et al. Some recent developments in differential geometry , 1989 .
[4] Bruce Solomon,et al. The structure of complete embedded surfaces with constant mean curvature , 1989 .
[5] David M. Anderson,et al. Periodic Surfaces of Prescribed Mean Curvature , 1987 .
[6] W. Meeks,et al. Embedded minimal surfaces with an infinite number of ends , 1989 .
[7] H. Karcher. Embedded minimal surfaces derived from Scherk's examples , 1988 .
[8] M. Shiffman. ON SURFACES OF STATIONARY AREA BOUNDED BY TWO CIRCLES, OR CONVEX CURVES, IN PARALLEL PLANES* , 1956 .
[9] Johannes C. C. Nitsche,et al. On new results in the theory of minimal surfaces , 1965 .
[10] J. Rubinstein,et al. Applications of minimax to minimal surfaces and the topology of 3-manifolds , 1987 .
[11] A. Tromba,et al. The index theorem for classical minimal surfaces , 1981 .
[12] A. Schoen. Infinite periodic minimal surfaces without self-intersections , 1970 .
[13] W. Meeks,et al. Embedded minimal surfaces of finite topology , 2015, Journal für die reine und angewandte Mathematik (Crelles Journal).
[14] W. Fischer,et al. On 3-periodic minimal surfaces with non-cubic symmetry , 1988 .
[15] Michael T. Anderson. Curvature estimates for minimal surfaces in $3$-manifolds , 1985 .
[16] R. Osserman. A survey of minimal surfaces , 1969 .
[17] Richard Schoen,et al. The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature , 1980 .
[18] The global theory of doubly periodic minimal surfaces , 1989 .
[19] H. Karcher. The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions , 1989 .
[20] L. Scriven,et al. Equilibrium bicontinuous structure , 1976, Nature.
[21] C. Costa. Example of a complete minimal immersion in IR3 of genus one and three-embedded ends , 1984 .
[22] Brian White. New applications of mapping degrees to minimal surface theory , 1989 .
[23] W. Meeks,et al. A complete embedded minimal surface in ${\bf R}\sp 3$ with genus one and three ends , 1985 .
[24] Richard Courant,et al. Soap Film Experiments with Minimal Surfaces , 1940 .
[25] S. Smale,et al. An Infinite Dimensional Version of Sard's Theorem , 1965 .
[26] Robert B. Kusner,et al. Conformal geometry and complete minimal surfaces , 1987 .
[27] S. Hildebrandt. The calculus of variations today , 1989 .
[28] H. Schwarz. Gesammelte mathematische Abhandlungen , 1970 .
[29] D. Hoffman,et al. A VARIATIONAL APPROACH TO THE EXISTENCE OF COMPLETE EMBEDDED MINIMAL-SURFACES , 1988 .
[30] A. Tromba,et al. Extreme curves bound embedded minimal surfaces of the type of the disc , 1978 .
[31] J. Hadamard,et al. Les surfaces a courbures opposees et leurs lignes geodesique , 1898 .
[32] Michael J. Callahan,et al. Computer graphics tools for the study of minimal surfaces , 1988, CACM.
[33] David M. Anderson,et al. Periodic area-minimizing surfaces in block copolymers , 1988, Nature.
[34] Charles Vernon Boys,et al. Soap-bubbles, their colours and the forces which mould them , 1912 .
[35] Charles Hermite,et al. Oeuvres mathématiques de Riemann , 1898 .
[36] Stefan Hildebrandt,et al. Mathematics and optimal form , 1985 .
[37] On the Boundary Behavior of Minimal Surfaces. , 1951, Proceedings of the National Academy of Sciences of the United States of America.
[38] H. Lawson. Lectures On Minimal Submanifolds , 1980 .