Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications
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Publication:465479
DOI10.1007/S10455-014-9422-4zbMath1308.58008OpenAlexW2462200575MaRDI QIDQ465479
Qun Chen, Hongbing Qiu, Juergen Jost
Publication date: 31 October 2014
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-014-9422-4
mean curvatureLie derivative\(V\)-harmonic mapOmori-Yau maximum principleself-shrinkerBernstein propertyRicci solution
Related Items (11)
Rigidity of self-shrinkers and translating solitons of mean curvature flows ⋮ Complete space-like \(\lambda \)-surfaces in the Minkowski space \(\mathbb{R}_1^3\) with the second fundamental form of constant length ⋮ A note on rigidity of spacelike self-shrinkers ⋮ The heat flow of $V$-harmonic maps from complete manifolds into regular balls ⋮ Parabolic Omori-Yau maximum principle for mean curvature flow and some applications ⋮ Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space ⋮ Remark on a lower diameter bound for compact shrinking Ricci solitons ⋮ Unnamed Item ⋮ On \textit{VT}-harmonic maps ⋮ A rigidity result of spacelike self-shrinkers in pseudo-Euclidean spaces ⋮ Classification theorems of complete space-like Lagrangian \(\xi\)-surfaces in the pseudo-Euclidean space \(\mathbb{R}^4_2\)
Cites Work
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- A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
- Some results on space-like self-shrinkers
- The rigidity theorems of self shrinkers via Gauss maps
- Generic mean curvature flow. I: Generic singularities
- Smooth metric measure spaces with non-negative curvature
- Maximum principles and gradient Ricci solitons
- Mean curvature flow with bounded Gauss image
- On complete gradient shrinking Ricci solitons
- Remarks on non-compact gradient Ricci solitons
- Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds
- Strong uniqueness of the Ricci flow
- Comparison geometry for the Bakry-Emery Ricci tensor
- A priori upper bounds of solutions satisfying a certain differential inequality on complete manifolds
- On cylindrically bounded \(H\)-hypersurfaces of \(\mathbb H^n \times \mathbb R\)
- Manifolds of nonpositive curvature
- Some geometric properties of the Bakry-Émery-Ricci tensor
- On the Omori-Yau maximum principle and its applications to differential equations and geometry
- Bernstein type theorems for higher codimension
- Complete self-shrinkers of the mean curvature flow
- Topology of steady and expanding gradient Ricci solitons via f-harmonic maps
- A remark on compact Ricci solitons
- Isometric immersions of Riemannian manifolds
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- An estimate for the sectional curvature of cylindrically bounded submanifolds
- HARMONIC MAPS FROM SMOOTH METRIC MEASURE SPACES
- A Generalized Maximum Principle and its Applications in Geometry
- Harmonic functions on complete riemannian manifolds
- Differential equations on riemannian manifolds and their geometric applications
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Geometry of Complete Gradient Shrinking Ricci Solitons
- Maximum principles on Riemannian manifolds and applications
- A Liouville Theorem for Harmonic Maps
- Volume estimate about shrinkers
- BOCHNER-TYPE FORMULAS FOR TRANSVERSALLY HARMONIC MAPS
- CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
- Some aspects of the global geometry of entire space-like submanifolds
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