Geometry of manifolds with densities
From MaRDI portal
Publication:2450104
DOI10.1016/j.aim.2014.03.023zbMath1290.53048arXiv1211.3996OpenAlexW2133719581WikidataQ125658773 ScholiaQ125658773MaRDI QIDQ2450104
Publication date: 16 May 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.3996
Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (31)
The weighted isoperimetric-type and Sobolev-type inequalities for hypersurfaces in Carnot groups ⋮ Stability properties and gap theorem for complete \(f\)-minimal hypersurfaces ⋮ Heat kernel on smooth metric measure spaces and applications ⋮ Poisson equation on complete manifolds ⋮ Volume growth and Bernstein theorems for translating solitons ⋮ Eigenvalues of the drifted Laplacian on complete metric measure spaces ⋮ Harmonic forms on manifolds with non-negative Bakry-Émery-Ricci curvature ⋮ Time analyticity for the heat equation on gradient shrinking Ricci solitons ⋮ Upper bounds for the first stability eigenvalue of surfaces in 3-Riemannian manifolds ⋮ On \(\kappa\)-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity ⋮ Li-Yau inequalities in geometric analysis ⋮ Vanishing theorems for \(f\)-harmonic forms on smooth metric measure spaces ⋮ When does gradient Ricci soliton have one end? ⋮ Harmonic and Schrödinger functions of polynomial growth on gradient shrinking Ricci solitons ⋮ A note on local minimizers of energy on complete manifolds ⋮ Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds ⋮ Minimal submanifolds in a metric measure space ⋮ Essential spectrum of the weighted Laplacian on noncompact manifolds and applications ⋮ Liouville theorems, volume growth, and volume comparison for Ricci shrinkers ⋮ A bound for the order of the fundamental group of a complete noncompact Ricci shrinker ⋮ Bernstein theorem for translating solitons of hypersurfaces ⋮ Volume growth estimates for Ricci solitons and quasi-Einstein manifolds ⋮ Bakry-Émery Ricci curvature bounds for doubly warped products of weighted spaces ⋮ The Splitting Theorem and topology of noncompact spaces with nonnegative N-Bakry Émery Ricci curvature ⋮ Splitting theorem for Ricci soliton ⋮ Volume growth estimates of gradient Ricci solitons ⋮ Ends of gradient Ricci solitons ⋮ Curvature growth of some 4-dimensional gradient Ricci soliton singularity models ⋮ Stability and compactness for complete 𝑓-minimal surfaces ⋮ Elliptic gradient estimates for a weighted heat equation and applications ⋮ Gap theorems for ends of smooth metric measure spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth metric measure spaces with non-negative curvature
- Analysis of weighted Laplacian and applications to Ricci solitons
- On complete gradient shrinking Ricci solitons
- A compactness theorem for complete Ricci shrinkers
- Strong uniqueness of the Ricci flow
- Comparison geometry for the Bakry-Emery Ricci tensor
- Sharp logarithmic Sobolev inequalities on gradient solitons and applications
- Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
- Topological entropy for geodesic flows
- A relation between growth and the spectrum of the Laplacian
- Eigenvalue comparison theorems and its geometric applications
- Some geometric properties of the Bakry-Émery-Ricci tensor
- Complete manifolds with positive spectrum
- Complete manifolds with positive spectrum. II.
- On gradient Ricci solitons
- Ricci curvature for metric-measure spaces via optimal transport
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- The splitting theorem for manifolds of nonnegative Ricci curvature
- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- Recent Progress on Ricci Solitons
- Logarithmic Sobolev Inequalities
- Partially Alternate Derivation of a Result of Nelson
This page was built for publication: Geometry of manifolds with densities