Harmonic \(p\)-forms on Hadamard manifolds with finite total curvature
DOI10.1007/S10455-018-9609-1zbMath1404.58004OpenAlexW2795558579MaRDI QIDQ1630068
Yilong Wu, Yusha Lv, Peijun Wang, Xiaoli Chao
Publication date: 7 December 2018
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-018-9609-1
finite total curvatureHadamard manifoldvanishing theoremEuclidean volume growth\(({\mathcal{P}}_\rho)\) propertyharmonic \(p\)-form
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential forms in global analysis (58A10)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Vanishing theorems for \(L^{2}\) harmonic forms on complete Riemannian manifolds
- \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature
- Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold
- Eigenfunctions of the weighted Laplacian and a vanishing theorem on gradient steady Ricci soliton
- \(L^2\) harmonic forms on submanifolds in a Hadamard manifold
- \(L ^{2}\)-harmonic forms and stable hypersurfaces in space forms
- Some properties of non-compact complete Riemannian manifolds
- On the structure of submanifolds in Euclidean space with flat normal bundle
- Stability of minimal hypersurfaces
- \(L^2\) harmonic forms on a complete stable hypersurfaces with constant mean curvature
- \(L^ 2\) harmonic forms and stability of minimal hypersurfaces
- Refined Kato inequalities and conformal weights in Riemannian geometry
- Complete manifolds with positive spectrum
- \(L^2\) forms and Ricci flow with bounded curvature on complete non-compact manifolds
- Vanishing theorems for \(L^2\) harmonic forms on complete submanifolds in Euclidean space
- L2HARMONIC 1-FORMS ON SUBMANIFOLDS WITH WEIGHTED POINCARÉ INEQUALITY
- Results on a weighted Poincaré inequality of complete manifolds
- On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARÉ INEQUALITY IN A RIEMANNIAN MANIFOLD
This page was built for publication: Harmonic \(p\)-forms on Hadamard manifolds with finite total curvature