[HTML][HTML] On quotients of spaces with Ricci curvature bounded below
Let (M, g) be a smooth Riemannian manifold and G a compact Lie group acting on M
effectively and by isometries. It is well known that a lower bound of the sectional curvature of …
effectively and by isometries. It is well known that a lower bound of the sectional curvature of …
Sharp inequalities involving the Ricci curvature for Riemannian submersions
In this paper, we obtain sharp inequalities on Riemannian manifolds admitting a
Riemannian submersion and give some characterizations using these inequalities. We …
Riemannian submersion and give some characterizations using these inequalities. We …
[HTML][HTML] Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds
SE Stepanov, J Mikeš - Differential Geometry and its Applications, 2017 - Elsevier
Liouville-type theorems for some classes of Riemannian almost product manifolds and for
special mappings of Riemannian manifolds - ScienceDirect Skip to main contentSkip to article …
special mappings of Riemannian manifolds - ScienceDirect Skip to main contentSkip to article …
Positive Ricci curvature on fiber bundles with compact structure group
LF Cavenaghi, LD Sperança - Advances in Geometry, 2022 - degruyter.com
This paper presents a direct and simple proof of a result concerning the existence of metrics
of positive Ricci curvature on the total space of fiber bundles with compact structure groups …
of positive Ricci curvature on the total space of fiber bundles with compact structure groups …
Convex algebraic geometry of curvature operators
RG Bettiol, M Kummer, RAE Mendes - SIAM Journal on Applied Algebra and …, 2021 - SIAM
We study the structure of the set of algebraic curvature operators satisfying a sectional
curvature bound under the light of the emerging field of convex algebraic geometry. More …
curvature bound under the light of the emerging field of convex algebraic geometry. More …
Transverse Geometry of Lorentzian foliations with applications to Lorentzian orbifolds
FC Caramello Jr, HAP Martins, IP Silva - arXiv preprint arXiv:2402.05907, 2024 - arxiv.org
We prove a transverse diameter theorem in the context of Lorentzian foliations, which can be
interpreted as a Hawking--Penrose-type singularity theorem for timelike geodesics …
interpreted as a Hawking--Penrose-type singularity theorem for timelike geodesics …
Surgery and positive Bakry-\'Emery Ricci curvature
P Reiser, F Tripaldi - arXiv preprint arXiv:2410.18859, 2024 - arxiv.org
We consider the problem of preserving weighted Riemannian metrics of positive Bakry-
\'Emery Ricci curvature along surgery. We establish two theorems of this type: One for …
\'Emery Ricci curvature along surgery. We establish two theorems of this type: One for …
Positive Ricci curvature through Cheeger deformations
LF Cavenaghi, RJM e Silva, LD Sperança - Collectanea Mathematica, 2024 - Springer
This paper is devoted to a deep analysis of the process known as Cheeger deformation,
applied to manifolds with isometric group actions. Here, we provide new curvature estimates …
applied to manifolds with isometric group actions. Here, we provide new curvature estimates …
Convergence of Ricci-limit spaces under bounded Ricci curvature and local covering geometry I
Z Jiang, L Kong, S Xu - arXiv preprint arXiv:2205.00373, 2022 - arxiv.org
We extend Cheeger-Gromov's and Anderson's convergence theorems to regular limit
spaces of manifolds with bounded Ricci curvature and local covering geometry, by …
spaces of manifolds with bounded Ricci curvature and local covering geometry, by …