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(CMC) 1-immersions of surfaces into hyperbolic 3-manifolds
Gabriella Tarantello, Stefano Trapani
https://arxiv.org/abs/2506.11894 https://

(CMC) 1-immersions of surfaces into hyperbolic 3-manifolds
Constant Mean Curvature (CMC) 1-immersions of surfaces into hyperbolic 3-manifolds are natural and yet rather curious objects in hyperbolic geometry with interesting applications. Firstly, Bryant revealed surprising relations between (CMC) $1$-immersions of surfaces into $\mathbb H^3$ (Bryant surfaces) and (cousins) minimal immersions into $\mathbb E^3.$ In addition, the interest to (CMC) immersions of a surface $S$ (closed, orientable, with genus $\mathfrak{g} \geq2$) into hyperbolic 3-manif…

This https://arxiv.org/abs/2502.20923 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Spinning boson stars in nonlinear sigma models and Universal Relations
Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear sigma model. Concretely, we obtain spinning boson star solutions for a family of models parametrized by the curvature of their two-dimensional target manifold, as well as for various self-interaction potentials. We derive the global properties and multipolar stru…