collaborators

8 papers

math.CO2025

Resnikoff silver numbers and tilings of the half-line (Dedicated to the memory of H.L.Resnikoff)

Josef F. Dorfmeister, Sebastian Walcher

Building on work by H.L.Resnikoff we consider (Resnikoff) silver numbers, which generalize the familiar golden number. By definition, a silver number is the largest positive root o…

math.DG2024

Harmonic maps of finite uniton number into inner symmetric spaces via based normalized extended frames

Josef F. Dorfmeister, Peng Wang

In this paper, we develop a loop group description of harmonic maps of finite uniton number, from a Riemann surface compact or non-compact, in…

math.DG2024

A duality theorem for harmonic maps into inner symmetric spaces

Josef F. Dorfmeister, Peng Wang

In this note, we show that for any harmonic map into a non-compact symmetric space one can find naturally a "dual" harmonic map into a compact symmetric space which can be construc…

math.DG2024

Algebraic Harmonic Maps, Totally Symmetric Harmonic Maps and a Conjecture

Josef F. Dorfmeister, Peng Wang

In this paper, we discuss the associated family of harmonic maps from a Riemann surface into inner symmetric spaces of compact or non-compact t…

math.DG2024

Equivariant primitive harmonic maps into symmetric spaces, with applications to Willmore surfaces

Josef F. Dorfmeister, Peng Wang

In this note we discuss the construction of equivariant primitive harmonic maps into symmetric spaces and give many applications to the construction of Willmore surfaces. In pa…

math.DG2024

Half-dimensional immersions into the para-complex projective space and Ruh-Vilms type theorems

Josef F. Dorfmeister, Roland Hildebrand, Shimpei Kobayashi

In this paper we study isometric immersions of an -dimensional pseudo-Riemannian manifold into the -dimensional para-complex pro…