Nicholas Rungi

activity

20242026

collaborators

3 papers

math.DG2026

Equiaffine immersions and pseudo-Riemannian space forms

Nicholas Rungi

We introduce an explicit construction that produces immersions into the pseudosphere $S^{n, n + 1}$ and the pseudohyperbolic space $H^{n + 1, n}$ starting from equiaffi…

math.DG2025

Para-complex geometry and cyclic Higgs bundles

Nicholas Rungi, Andrea Tamburelli

We introduce para-complex and pseudo-Riemannian geometric methods for the study of representations of surface groups in $SL (2 m + 1, R)$ . For $m = 1$ our techniques all…

math.DG2024

Complex Lagrangian minimal surfaces, bi-complex Higgs bundles and $SL (3, C)$ -quasi-Fuchsian representations

Nicholas Rungi, Andrea Tamburelli

In this paper we introduce complex minimal Lagrangian surfaces in the bi-complex hyperbolic space and study their relation with representations in $SL (3, C)$ . Our…

Equiaffine immersions and pseudo-Riemannian space forms

Para-complex geometry and cyclic Higgs bundles

Complex Lagrangian minimal surfaces, bi-complex Higgs bundles and SL(3,C)-quasi-Fuchsian representations

Complex Lagrangian minimal surfaces, bi-complex Higgs bundles and $SL (3, C)$ -quasi-Fuchsian representations