Work

The moduli space of flat maximal space-like embeddings in pseudo-hyperbolic space

Year: 2025

Type: article

Abstract: We study the moduli space of flat maximal space-like embeddings in $${\mathbb {H}}^{2,2}$$ H 2 , 2 from various aspects. We first describe the associated Codazzi tensors to the embedding in the general setting, and then, we introduce a family of pseudo-Kähler metrics on the moduli space. We show the existence of two Hamiltonian actions with associated moment maps and use them to find a geometric global Darboux frame for any symplectic form in the above family.

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-025-09994-z

Authors: Nicholas Rungi, Andrea Tamburelli

Institutions: University of Turin, University of Pisa

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Università degli Studi di Torino