PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 9, 2024Boletín de la Sociedad Matemática Mexicana0 citationsOpen Access

Moduli space of bi-invariant metrics

View Full Paper
JTJuan Flores Torres

Key Points

Key points are not available for this paper at this time.

Abstract

Abstract In this work, we focus on describing the space of bi-invariant metrics in a Lie group up to isometry. i. e, metrics invariant under both left and right translations. We show that BI BI, the moduli space of bi-invariant metrics, is an orbifold. Moreover, we give an explicit description of this orbifold, and of EBI EBI, the space of bi-invariant metrics equivalent under isometries and scalar multiplies.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Juan Flores Torres (2024) studied this question.

synapsesocial.com/papers/68e6aebeb6db643587630a7ehttps://doi.org/10.1007/s40590-024-00622-7
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Cartan-Schouten Metrics for Information Geometry and Machine Learning2024 · 1 citations
  2. 2Cartan-Schouten metrics for information geometry and machine learning2024
  3. 3On the existence and properties of left invariant <i>k</i> -symplectic structures on Lie groups with bi-invariant peudo-Riemannian metric2024
  4. 4Invariant Einstein metrics on basic classical Lie supergroups2025
  5. 5Moduli spaces of flat Riemannian metrics on orbifolds2025