Thomas G. Brooks

activity

20192024

most citedNon-negative Curvature and Conullity of the Curvature Tensor

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2024★ 1 cited

Generating Sets of Mathieu Groups

Thomas G. Brooks

Julius Whiston calculated the maximum size of an irredundant generating set for $S_{n}$ and $A_{n}$ by examination of maximal subgroups. Using analogous considerations, we will compute…

math.DG2021

3-Manifolds with Constant Ricci Eigenvalues $(λ, λ, 0)$

Thomas G. Brooks

We consider complete Riemannian $3$ -manifolds whose Ricci tensors have constant eigenvalues $(λ, λ, 0)$ . When $π_{1}$ is finitely generated, we classify the topology of such manifold…

math.DG2019★ 2 cited

Non-negative Curvature and Conullity of the Curvature Tensor

Thomas G. Brooks

The conullity of a curvature tensor is the codimension of its kernel. We consider the cases of conullity two in any dimension and conullity three in dimension four. We show that th…

Generating Sets of Mathieu Groups

3-Manifolds with Constant Ricci Eigenvalues (λ,λ,0)

Non-negative Curvature and Conullity of the Curvature Tensor

3-Manifolds with Constant Ricci Eigenvalues $(λ, λ, 0)$