G. Larotonda

activity

20082025

most citedLagrangian Grassmannian in Infinite Dimension

8 citations · 25 across the 29 of their papers we have counts for

collaborators

37 papers

math.DG2025

Lie groups with a bi-invariant distance

Gabriel Larotonda, Iván Rey

We show that a Lie group $G$ admitting a bi-invariant distance must be the product $G = H \times K$ of an abelian group $H$ and a compact group $K$ with discrete center. Moreover, the…

math.DG2024★ 1 cited

Nijenhuis operators on homogeneous spaces related to $C^{*}$ -algebras

Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach

For a unital non-simple $C^{*}$ -algebra $A$ we consider its Banach--Lie group $G$ of invertible elements. For a given closed ideal $k$ in $A$ , we consider…

math.DG2024★ 2 cited

Nijenhuis operators on Banach homogeneous spaces

Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach

For a Banach--Lie group $G$ and an embedded Lie subgroup $K$ we consider the homogeneous Banach manifold $M = G / K$ . In this context we establish the most general conditions…

math.FA2024

Convexity of sums of eigenvalues of a segment of unitaries

Gabriel Larotonda, Martin Miglioli

For a $n \times n$ unitary matrix $u = e^{z}$ with $z$ skew-Hermitian, the angles of $u$ are the arguments of its spectrum, i.e. the spectrum of $- i z$ . For $1 \leq m \leq n$ , we show that $…

math.DG2024

Totally geodesic submanifolds in the manifold SPD of symmetric positive-definite real matrices

Alice Barbara Tumpach, Gabriel Larotonda

This paper is a self-contained exposition of the geometry of symmetric positive-definite real $n \times n$ matrices $SPD (n)$ , including necessary and sufficent condit…

math.FA2023

Conjugate points in the Grassmann manifold of a $C^{*}$ -algebra

Esteban Andruchow, Gabriel Larotonda, Lázaro Recht

Let $G r$ be a component of the Grassmann manifold of a $C^{*}$ -algebra, presented as the unitary orbit of a given orthogonal projection $G r = G r (P)$ . There are several natural connecti…