A splitting theorem on smooth metric measure spaces
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Publication:453169
DOI10.1007/s00013-012-0420-0zbMath1257.53059OpenAlexW1995378021MaRDI QIDQ453169
Publication date: 18 September 2012
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-012-0420-0
splitting theoremsmooth metric measure spaceBakry-Émery curvatureweighted Laplaciangradient steady Ricci soliton
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Length, area, volume, other geometric measure theory (28A75) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (2)
Rigidity theorems on smooth metric measure spaces with weighted Poincaré inequality ⋮ \(L^2_f\)-harmonic \(1\)-forms on smooth metric measure spaces with positive \(\lambda_1(\Delta_f)\)
Cites Work
- Smooth metric measure spaces with non-negative curvature
- Analysis of weighted Laplacian and applications to Ricci solitons
- Harmonic functions and the structure of complete manifolds
- Complete manifolds with positive spectrum
- Complete manifolds with positive spectrum. II.
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- Results on a weighted Poincaré inequality of complete manifolds
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