Constant Mean Curvature Surfaces in Homogeneous Manifolds is popular PDF and ePub book, written by Julia Plehnert in 2012, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Constant Mean Curvature Surfaces in Homogeneous Manifolds can be Read Online from any device for your convenience.
Constant Mean Curvature Surfaces in Homogeneous Manifolds Book PDF Summary
In this dissertation new constant mean curvature surfaces in homogeneous 3-manifolds are constructed. They arise as sister surfaces of Plateau solutions. The first example, a two-parameter family of MC H surfaces in ∑(k) x R with H ∈ [0,1/2] and k + 4H2 ≤ 0, has genus 0,2 k ends and k-fold dihedral symmetry, k ≥ 2. The existence of the minimal sister follows from the construction of a mean convex domain. The projection of the domain is non-convex. The second example is an MC 1/2 surface in H2 ∈ R with k ends, genus 1 and k-fold dihedral symmetry, k ≥ 3. One has to solve two period problems in the construction. The first period guarantees that the surface has exactly one horizontal symmetry. For the second period the control of a horizontal mirror curve proves the dihedral symmetry. For H=1/2 all surfaces are Alexandrov-embedded.
Detail Book of Constant Mean Curvature Surfaces in Homogeneous Manifolds PDF
- Author : Julia Plehnert
- Release : 01 October 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832532062
- Genre : Mathematics
- Total Page : 94 pages
- Language : English
- PDF File Size : 15,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Constant Mean Curvature Surfaces in Homogeneous Manifolds by Julia Plehnert, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.