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.

Contact

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. [pdf]

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. [pdf]

Thesis

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