Cover Image

Ricci Curvature and Betti Numbers of Hessian Manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gnandi, Emmanuel, Puechmorel, Stéphane
Format:	Preprint
Published:	2026
Subjects:	Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The topology of 3-dimensional Hessian manifolds
by: Gnandi, Emmanuel
Published: (2025)

Construction of Exponential Families from Statistical Manifolds
by: Gnandi, Emmanuel
Published: (2025)

On the parity of the Betti numbers of 3-manifolds with a parallel vector field
by: Gnandi, Emmanuel, et al.
Published: (2025)

Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature
by: Huang, Hongzhi, et al.
Published: (2026)

Any Kähler metric is a Fisher information metric
by: Gnandi, Emmanuel
Published: (2024)

Lower Ricci Curvature and Nonexistence of Manifold Structure
by: Hupp, Erik, et al.
Published: (2023)

On the Betti Numbers of Finite Volume Hyperbolic Manifolds
by: Di Cerbo, Luca F., et al.
Published: (2020)

Splitting and Slow Volume Growth for Open Manifolds with Nonnegative Ricci Curvature
by: Huang, Hongzhi, et al.
Published: (2025)

Sobolev Inequality on Manifolds With Asymptotically Nonnegative Bakry-Émery Ricci Curvature
by: Dong, Yuxin, et al.
Published: (2022)

Adversarial attacks on neural networks through canonical Riemannian foliations
by: Tron, Eliot, et al.
Published: (2022)

Cartan moving frames and the data manifolds
by: Tron, Eliot, et al.
Published: (2024)

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds
by: Huang, Hongzhi, et al.
Published: (2025)

On Topology of Compact Hessian Manifolds
by: Liu, Hanwen
Published: (2025)

Nonnegative Ricci curvature, splitting at infinity, and first Betti number rigidity
by: Pan, Jiayin, et al.
Published: (2024)

Integrals and Rigidity on Manifolds with Nonnegative Ricci Curvature
by: Chen, Zixuan, et al.
Published: (2026)

Comparison Theorems and the Intermediate Ricci Curvature Assumption
by: Wu, Yujie
Published: (2025)

Lower Ricci Curvature Bounds and the Orientability of Spaces
by: Brena, Camillo, et al.
Published: (2024)

Remark on quasi Sasakian structures
by: Gnandi, Emmanuel, et al.
Published: (2025)

Timelike conformal fields on closed $3$-manifolds
by: Gnandi, Emmanuel, et al.
Published: (2025)

Ricci curvature and minimal hypersurfaces with large Betti numbers
by: Maximo, Davi, et al.
Published: (2025)

Static Manifolds with Boundary and Rigidity of Scalar Curvature and Mean Curvature
by: Sheng, Hongyi
Published: (2024)

A Born Structure on the Tangent Bundle of a Hessian Manifold
by: Sakamoto, Hakobi
Published: (2025)

$η$-Ricci Solitons on Kenmotsu 3-Manifolds
by: De, K., et al.
Published: (2024)

Ricci Flows with Nilpotent Symmetry and Zero Bundle Curvature
by: Gindi, Steven
Published: (2024)

Gradient Shrinking Ricci Solitons and Modified Sectional Curvature
by: Cao, Xiaodong, et al.
Published: (2025)

Quantitative Maximal Diameter Rigidity of Positive Ricci Curvature
by: Ren, Tianyin, et al.
Published: (2023)

Curvature Deformations on Complete Manifolds with Boundary
by: Cruz, Tiarlos, et al.
Published: (2025)

Rigidity of the first Betti number via Ricci flow smoothing
by: Huang, Shaosai, et al.
Published: (2020)

Reverse Ricci-Curvature Bounds for Riemannian Submersions and Riemannian Maps
by: Singh, Ravindra
Published: (2026)

Manifolds with non-positive second Chern-Ricci curvature
by: Yang, Xiaokui
Published: (2024)

Do Riemannian Submersions Preserve Positive Intermediate Ricci Curvature?
by: El-Hasan, Hasan M., et al.
Published: (2025)

Quantitative Rigidity Using Colding's Monotonicity Formulas for Ricci Curvature
by: Breiner, Christine, et al.
Published: (2025)

Intermediate Ricci curvatures and Gromov's Betti number bound
by: Reiser, Philipp, et al.
Published: (2022)

On the Equivalence of Generalized Ricci Curvatures
by: Cavalcanti, Gil R., et al.
Published: (2024)

Hessian estimates for the conjugate heat equation coupled with the Ricci flow
by: Huang, Hong
Published: (2021)

Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay
by: Chong, Tian, et al.
Published: (2025)

New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
by: Cucinotta, Alessandro, et al.
Published: (2026)

A Polyharmonic Liouville Hierarchy on Complete Manifolds of Nonnegative Ricci Curvature
by: Bravo, John E., et al.
Published: (2025)

Gaussian Volume Functional, Integral Scalar Curvature, and Minimal Super-Ricci Flows
by: Flaim, Marco, et al.
Published: (2026)

ACS Condition on Minimal Isoparametric Hypersurfaces of Positive Ricci Curvature in Unit Spheres
by: Chen, Niang
Published: (2026)