Cover Image

Topological Obstructions to the Existence of Compact Shrinking Ricci Solitons in Dimension Four

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	MacMahon, Cameron
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Geometry and Topology of Gradient Shrinking Sasaki-Ricci Solitons
by: Chang, Shu-Cheng, et al.
Published: (2025)

Transverse Rigidity of Shrinking Sasaki-Ricci Solitons
by: Chang, Shu-Cheng, et al.
Published: (2025)

Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
by: Cao, Xiaodong, et al.
Published: (2024)

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

Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor
by: Chang, Shu-Cheng, et al.
Published: (2025)

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
by: Li, Fengjiang, et al.
Published: (2024)

A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
by: Wang, Chen, et al.
Published: (2026)

A note on four dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
by: Wang, Chen, et al.
Published: (2026)

Rigidity of Gradient Shrinking Ricci Solitons with a Vanishing Bach-like Tensor and Related Variational Formulas
by: Siene, James
Published: (2025)

Shrinking gradient Kähler-Ricci solitons are simply-connected
by: Esparza, Carlos
Published: (2025)

The Stability of Generalized Ricci Solitons
by: Lee, Kuan-Hui
Published: (2022)

On Shrinking Ricci solitons with positive isotropic curvature in higher dimensions
by: Chen, Zhengnan
Published: (2025)

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

Ricci Solitons on the Poincaré upper half plane
by: Bousso, Abdou, et al.
Published: (2025)

Convex Hull Volumes in Hyperbolic 3-Space
by: MacMahon, Cameron
Published: (2026)

Cohomogeneity One Expanding Ricci Solitons and the Expander Degree
by: Rajan, Abishek
Published: (2025)

Non-Shrinking Ricci Solitons of cohomogeneity one from the quaternionic Hopf fibration
by: Chi, Hanci
Published: (2024)

Extended Solitons of the Ambient Obstruction Flow
by: Griffin, Erin, et al.
Published: (2024)

Classification of Steady Gradient Ricci-Yang-Mills Solitons on Surfaces
by: Womack, Michael
Published: (2026)

Asymptotic Geometry of Four-Dimensional Steady Solitons
by: Hebbar, Aprameya Girish, et al.
Published: (2026)

Existence and applications of Ricci flows via pseudolocality
by: He, Fei
Published: (2016)

Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
by: Diatta, A., et al.
Published: (2025)

On Ricci Solitons and Harmonic Vector Fields in the Thurston Geometry $F^4$
by: Boukhari, Halima, et al.
Published: (2026)

Partial Scalar Curvatures and Topological Obstructions for Submanifolds
by: Onti, C. -R., et al.
Published: (2024)

Four-dimensional complete gradient shrinking Ricci solitons
by: Cao, Huai-Dong, et al.
Published: (2020)

New Volume Comparison Results and Volume Growth Rigidity of Gradient Ricci Almost Solitons
by: Li, Wen-Qi
Published: (2023)

Existence, Stability, and Geometric Implications of $\ast$-$η$-Schouten Solitons on Kenmotsu Manifolds
by: Pallei, Tejswani, et al.
Published: (2026)

Existence of embedded minimal tori in three-spheres with positive Ricci curvature
by: Li, Xingzhe, et al.
Published: (2024)

Fukaya-Yamaguchi Conjecture in Dimension Four
by: Bruè, Elia, et al.
Published: (2025)

Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature
by: Cao, Huai-Dong, et al.
Published: (2024)

Higher-dimensional flying wing Steady Ricci Solitons
by: Chan, Pak-Yeung, et al.
Published: (2025)

Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities
by: Chen, Longteng, et al.
Published: (2026)

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

Four-dimensional shrinkers with nonnegative Ricci curvature
by: Wu, Guoqiang, et al.
Published: (2025)

On Complete Gradient Steady Ricci Solitons with Vanishing D-tensor
by: Cao, Huai-Dong, et al.
Published: (2020)

Pseudo-Riemannian Algebraic Ricci Solitons on Four-Dimensional Lie Groups
by: Ayad, Youssef
Published: (2026)

Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry
by: Lavoyer, Lucas, et al.
Published: (2025)

Local Existence Of The Symplectic Gradient Flow On The Hyperkähler Four-dimensional Flat Torus
by: Lucas, Pinsard Morel
Published: (2025)

On the Curvature and Topology of Compact Stationary Spacetimes
by: Aazami, Amir Babak
Published: (2025)

Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
by: Bruè, Elia, et al.
Published: (2024)