Szabos algorithm and applications (ouvre dans un nouvel onglet)

Résumé

In this paper, Szabos algorithm is used as the main tool to find locally symmetric left invariant Riemannian metrics on some $4$-dimensional Lie groups. Locally symmetric left invariant Riemannian Lie groups constitute an important subclass of Riemannian Lie groups with zero-divergence Weyl-tensor the so-called C-manifolds. Some properties of the curvature operator of these 4-dimensional C-manifolds are studied.

Mots-clés

• #geometric analysis and curvature flows
• #advanced numerical analysis techniques
• #advanced neuroimaging techniques and applications
• #mathematics
• #curvature of riemannian manifolds
• #lie group
• #pure mathematics
• #invariant (physics)
• #divergence (linguistics)
• #riemann curvature tensor
• #curvature
• #scalar curvature
• #sectional curvature
• #geometry
• #mathematical physics