Szabos algorithm and applications (opens in a new tab)

Abstract

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.

Keywords

• #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