Displaying similar documents to “Minimal surface maps, fixed point indices and a Jiang-Guo type inequality”

Linearization and explicit solutions of the minimal surface equations.

Alexander G. Reznikov (1992)

Publicacions Matemàtiques

Similarity:

We show that the apparatus of support functions, usually used in convex surfaces theory, leads to the linear equation Δh + 2h = 0 describing locally germs of minimal surfaces. Here Δ is the Laplace-Beltrami operator on the standard two-dimensional sphere. It explains the existence of the sum operator of minimal surfaces, introduced recently. In 4-dimensional space the equation Δ h + 2h = 0 becomes inequality wherever the Gauss curvature of a minimal hypersurface is nonzero.

A conjecture on minimal surfaces

Gianfranco Cimmino (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Similarity:

Simple computations support the conjecture that a small spherical surface with its center on a minimal surface cannot be divided by the minimal surface into two portions with different area.

Complete minimal surfaces in R.

Francisco J. López, Francisco Martín (1999)

Publicacions Matemàtiques

Similarity:

In this paper we review some topics on the theory of complete minimal surfaces in three dimensional Euclidean space.