Discrete Differential Geometry Lab

Julia Plehnert

I am a postdoc in the Discrete Differential Geometry Lab at the University of Goettingen.

Research interests

Differential Geometry, surface theory, minimal and constant mean curvature surfaces.


Institute of Num. and Appl. Mathematics
University of Goettingen
Lotzestr. 16-18
37083 Goettingen, Germany
Phone: +49 (0)551 39-12464
eMail: j.lastname (at) math.uni-goettingen.de

Publications: Articles
Constant mean curvature k-noids in homogeneous manifolds
Julia Plehnert. arXiv:1306.0219 [math.DG], 2013.
Abstract: For each k>1, we construct two families of surfaces in Sigma(kappa)xR with constant mean curvature H for H in [0,1/2], where kappa+4H^2 is non-positive. The surfaces are invariant under 2 pi/k-rotations about a vertical fiber of Sigma(kappa)xR, have genus zero, and a finite number of ends.

Surfaces with constant mean curvature 1/2 and genus one in H2xR
Julia Plehnert. arXiv:1212.2796 [math.DG], 2012.
Abstract: We construct new constant mean curvature surfaces in H2xR. They arise as sister surfaces of Plateau solutions. It is a family of MC 1/2 surfaces with k ends, genus 1 and k-fold dihedral symmetry, k greater 2.


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Constant mean curvature surfaces in homogeneous manifolds, Julia Plehnert, Dissertation, Technische Universität Darmstadt, 2012.
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