57 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Nacional del SurAR27 papers
- Consejo Nacional de Investigaciones Científicas y TécnicasAR24 papers
- Centro Científico Tecnológico - Bahía BlancaAR16 papers
- Universidad Nacional Autónoma de MéxicoMX4 papers
- Universidad Nacional de CórdobaAR4 papers
- SUNY New PaltzUS3 papers
- City University of New YorkUS1 paper
- Consejo Superior de Investigaciones CientíficasES1 paper
- Institute of Economic and Social DevelopmentAR1 paper
- Institute of Mathematical SciencesIN1 paper
- Instituto de Investigaciones Económicas y Sociales del Sur1 paper
- Lehman CollegeUS1 paper
7 papers · 1 filter
Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups
Emilio A. Lauret
Let be a compact connected Lie group of dimension . Once a bi-invariant metric on is fixed, left-invariant metrics on are in correspondence with positive…
The first eigenvalue of a homogeneous CROSS
Renato G. Bettiol, Emilio A. Lauret, Paolo Piccione
We provide explicit formulae for the first eigenvalue of the Laplace-Beltrami operator on a compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As consequ…
On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups
Emilio A. Lauret
Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group , there is a positive real number such that $λ_1(G,g)\operatorname{diam…
Non-solvable Lie groups with negative Ricci curvature
Emilio A. Lauret, Cynthia E. Will
Until a couple of years ago, the only known examples of Lie groups admitting left-invariant metrics with negative Ricci curvature were either solvable or semisimple. We use a gener…
Recent results on the spectra of lens spaces
Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti
In this paper we report on recent results by several authors, on the spectral theory of lens spaces and orbifolds and similar locally symmetric spaces of rank one. Most of these re…
Strong representation equivalence for compact symmetric spaces of real rank one
Emilio A. Lauret, Roberto J. Miatello
Let be a simply connected compact irreducible symmetric space of real rank one. For each -type we compare the notions of -representation equivalence with -isospe…
The inverse problem of the calculus of variations for discrete systems
María Barbero-Liñán, Marta Farré Puiggalí, Sebastián Ferraro +1
We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of us…