Shimpei Kobayashi

activity

20042026

most citedUnitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms

46 citations · 76 across the 35 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.DG2013★ 4 cited

Constant Gaussian curvature surfaces in the 3-sphere via loop groups

David Brander, Jun-ichi Inoguchi, Shimpei Kobayashi

In this paper we study constant positive Gauss curvature $K$ surfaces in the 3-sphere $S^{3}$ with $0 < K < 1$ as well as constant negative curvature surfaces. We show that the so-called…

math.DG2013

A loop group method for Demoulin surfaces in the 3-dimensional real projective space

Shimpei Kobayashi

For a surface in the 3-dimensional real projective space, we define a Gauss map, which is a quadric in $R^{4}$ and called the first-order Gauss map. It will be shown that t…