activity
20242026
collaborators

5 papers

math.DG2026

On a generalized Finsler warped product metrics with vanishing Landsberg curvature

Newton Solórzano, Dik D. Lujerio Garcia, Víctor León +1

In this paper, we study weakly orthogonally invariant Finsler metrics and derive explicit expressions for their Berwald and Landsberg curvatures. We then obtain the system of parti…

gr-qc2025

ECO signatures from the Weyl-induced gravitational waveform injection

Abraão J. S. Capistrano, Newton M. S. Chávez, Víctor A. M. León

We investigate gravitational wave emission from an oscillating star modeled in a static Weyl background using a modulated waveform ansatz. First, we revisit the Weyl metric and obt…

math.CV2024

The Bruce-Roberts Tjurina number of holomorphic 1-forms along complex analytic varieties

Pedro Barbosa, Arturo Fernández-Pérez, Víctor León

We introduce the notion of the Bruce-Roberts Tjurina number for holomorphic 1-forms relative to a pair of complex analytic subvarieties. When the pair consists of i…

math.CV2024

The Bruce-Roberts number of holomorphic 1-forms along complex analytic varieties

Pedro Barbosa, Arturo Fernández-Pérez, Víctor León

We introduce the notion of the \textit{Bruce-Roberts number} for holomorphic 1-forms relative to complex analytic varieties. Our main result shows that the Bruce-Roberts number of…

math.CV2024

On holomorphic -actions

Víctor León, Bruno Scárdua

In this paper we study holomorphic actions of the complex multiplicative group on complex manifolds around a singular (fixed) point. We prove linearization results for the germ of…