Poincaré inequality for one forms on four manifolds with bounded Ricci curvature

Poincaré inequality for one forms on four manifolds with bounded Ricci curvature

In this short note, we provide a quantitative global Poincar´e inequality for one forms on a closed Riemannian four manifold, in terms of an upper bound on the diameter, a positive lower bound on the volume, and a two-sided bound on Ricci curvature. This seems to be the first non-trivial result givi...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों:	Honda, S, Mondino, A
स्वरूप:	Journal article
भाषा:	English
प्रकाशित:	Springer 2025

समान संसाधन

Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2018)

Measure rigidity of Ricci curvature lower bounds
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2015)

Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2018)

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2016)

Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2017)

On quotients of spaces with Ricci curvature bounded below
द्वारा: Galaz-García, F, और अन्य
प्रकाशित: (2018)

Harnack inequalities on a manifold with positive or negative Ricci curvature
द्वारा: Bakry, D, और अन्य
प्रकाशित: (1999)

On the differentiable sphere theorem for manifolds with Ricci curvatures bounded from above
द्वारा: S. E. Stepanov, और अन्य
प्रकाशित: (2024-01-01)

Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
द्वारा: Gamara Najoua, और अन्य
प्रकाशित: (2015-09-01)

The metric measure boundary of spaces with Ricci curvature bounded below
द्वारा: Brué, E, और अन्य
प्रकाशित: (2023)

Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds
द्वारा: Mondino, A, और अन्य
प्रकाशित: (2019)

Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below
द्वारा: Mondino, A, और अन्य
प्रकाशित: (2019)

Sectional and intermediate Ricci curvature lower bounds via optimal transport
द्वारा: Ketterer, C, और अन्य
प्रकाशित: (2018)

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2022)

On the volume measure of non-smooth spaces with Ricci curvature bounded below
द्वारा: Kell, M, और अन्य
प्रकाशित: (2018)

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions
द्वारा: Mondino, A, और अन्य
प्रकाशित: (2016)

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds
द्वारा: Mondino, A, और अन्य
प्रकाशित: (2021)

Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds
द्वारा: Dae Won Yoon
प्रकाशित: (2005-01-01)

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
द्वारा: Barilari, D, और अन्य
प्रकाशित: (2024)

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
द्वारा: Barilari, D, और अन्य
प्रकाशित: (2022)

On Ricci curvature of submanifolds in statistical manifolds of constant (quasi-constant) curvature
द्वारा: Aliya Naaz Siddiqui, और अन्य
प्रकाशित: (2020-05-01)

L2-Harmonic Forms on Incomplete Riemannian Manifolds with Positive Ricci Curvature
द्वारा: Junya Takahashi
प्रकाशित: (2018-05-01)

On the Ricci Curvature of Normal-Metric Contact Pair Manifolds
द्वारा: Ramazan Sarı, और अन्य
प्रकाशित: (2021-03-01)

On the structure of Riemannian manifolds of almost nonnegative Ricci curvature
द्वारा: Gabjin Yun
प्रकाशित: (2004-01-01)

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
द्वारा: Cavalletti, F, और अन्य
प्रकाशित: (2024)

Ricci flow on a 3-manifold with positive scalar curvature
द्वारा: Qian, Z, और अन्य
प्रकाशित: (2009)

Ricci curvature of submanifolds in Kenmotsu space forms
द्वारा: Kadri Arslan, और अन्य
प्रकाशित: (2002-01-01)

Curvature properties of \(\alpha\)-cosymplectic manifolds with \(\ast\)-\(\eta\)-Ricci-Yamabe solitons
द्वारा: Vandana, और अन्य
प्रकाशित: (2024-04-01)

Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-<i>η</i>-Ricci Solitons
द्वारा: Halil İbrahim Yoldaş, और अन्य
प्रकाशित: (2023-01-01)

Instability of elliptic equations on compact Riemannian manifolds with non-negative Ricci curvature
द्वारा: Arnaldo S. Nascimento, और अन्य
प्रकाशित: (2010-05-01)

Lower bounds on Ricci curvature and quantitative behavior of singular sets
द्वारा: Cheeger, Jeff, और अन्य
प्रकाशित: (2017)

Molecules as metric measure spaces with Kato-bounded Ricci curvature
द्वारा: Güneysu, Batu, और अन्य
प्रकाशित: (2020-09-01)

Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms
द्वारा: Meraj Ali Khan, और अन्य
प्रकाशित: (2020-08-01)

Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature
द्वारा: Simona Decu, और अन्य
प्रकाशित: (2020-02-01)

Remarks on Manifolds with Two-Sided Curvature Bounds
द्वारा: Kapovitch Vitali, और अन्य
प्रकाशित: (2021-06-01)

The Ricci Curvature on Simplicial Complexes
द्वारा: Taiki Yamada
प्रकाशित: (2023-01-01)

The Ricci Flow on Spin Manifolds
द्वारा: Baldauf, Julius
प्रकाशित: (2024)

Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors
द्वारा: S.E. Stepanov, और अन्य
प्रकाशित: (2022-11-01)

Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
द्वारा: A. Ghosh
प्रकाशित: (2019-06-01)

Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold
द्वारा: Payel Karmakar
प्रकाशित: (2022-10-01)