Minimal surfaces in ${\Bbb M}\sp 2\times\Bbb R$
نویسندگان
چکیده
منابع مشابه
Minimal surfaces in H × R
We construct complete embedded minimal surfaces in H × R. The first one is a finite total curvature surface which is conformal to S \ {p1, ..., pk}, k ≥ 2; the second one is a 1-parameter family of singly-periodic minimal surfaces which is asymptotic to a horizontal plane and a vertical plane; the third one is a 2-parameter family of minimal surfaces which have a fundamental piece of finite tot...
متن کاملMinimal Surfaces in M × R
In this paper, we investigate the problem of finding minimal surface in M ×R with general boundary conditions through an variational approach. As an application we generalize the results in [8] to M × R. We also show the long time existence and uniform convergence of the corresponding flow problem.
متن کاملMinimal Surfaces in R with Dihedral Symmetry
We construct new examples of immersed minimal surfaces with catenoid ends and finite total curvature, of both genus zero and higher genus. In the genus zero case, we classify all such surfaces with at most 2n+1 ends, and with symmetry group the natural Z2 extension of the dihedral group Dn. 1 2 The surfaces are constructed by proving existence of the conjugate surfaces. We extend this method to...
متن کاملMulti-instantons in R and Minimal Surfaces in R
It is known that self-duality equations for multi-instantons on a line in four dimensions are equivalent to minimal surface equations in three dimensional Minkowski space. We extend this equivalence beyond the equations of motion and show that topological number, instanton moduli space and anti-self-dual solutions have representations in terms of minimal surfaces. The issue of topological charg...
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 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: Illinois Journal of Mathematics
سال: 2002
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138473