Some new examples of nonorientable minimal surfaces
نویسندگان
چکیده
منابع مشابه
Orientable and nonorientable minimal surfaces
We describe a theory of Morse-Conley type for orientable and nonorientable minimal surfaces of varying topological type solving Plateau problems in R 3 . 1991 Mathematics Subject Classification 53A10, 49F10, 58E12, 32G 15 After J. Douglas had solved Plateau's problem (this was also independently achieved by T. Rad6), he considered the problem of finding minimal surfaces of higher genus and/or c...
متن کاملComplete Nonorientable Minimal Surfaces in a Ball of R
The existence of complete minimal surfaces in a ball was proved by N. Nadirashvili in 1996. However, the construction of such surfaces with nontrivial topology remained open. In 2002, the authors showed examples of complete orientable minimal surfaces with arbitrary genus and one end. In this paper we construct complete bounded nonorientable minimal surfaces in R3 with arbitrary finite topology...
متن کاملOn Complete Nonorientable Minimal Surfaces with Low Total Curvature
We classify complete nonorientable minimal surfaces in R3 with total curvature −8π.
متن کاملDigital cohomology groups of certain minimal surfaces
In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...
متن کاملMinimal Area Nonorientable String Diagrams
We use minimal area metrics to generate all nonorientable string diagrams. The surfaces in unoriented string theory have nontrivial open curves and nontrivial closed curves whose neighborhoods are either annuli or Möbius strips. We define a minimal area problem by imposing length conditions on open curves and on annular closed curves only. We verify that the minimal area conditions are respecte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1986
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1986-0861765-0