https://neckpinch.com/authors/douglas-d-novaes/New arXiv papers by Douglas D. Novaes, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2307.06418/arxiv:2307.06418Wed, 12 Jul 2023 00:00:00 GMTLeonardo F. Cavenaghi, Lino Grama, Ricardo M. Martins, Douglas D. Novaes — The family of invariant Riemannian manifolds in the Wallach flag manifold SU(3)/T² is described by three parameters (x,y,z) of positive real numbers. By restricting such a family of metrics in the tetrahedron calT:= x+y+z = 1, in this paper, we describe all regions cal R ⊂ cal T admitting metrics with curvature properties varying from positive sectional curvature to positive scalar curvature, including positive intermediate curvature notion's. We study the dynamics of such regions under the projected Ricci flow in the plane (x,y), concluding sign curvature maintenance and escaping. In addition, we obtain some results for positive intermediate Ricci curvature for a path of metrics on fiber bundles over SU(3)/T², further studying its evolution under the Ricci flow on the base.Ricci flowSphere theoremsScalar curvature