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Graphical mean curvature flow (Q1982267)

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scientific article; zbMATH DE number 7392155

Language	Label	Description	Also known as
English	Graphical mean curvature flow	scientific article; zbMATH DE number 7392155

Statements

scholarly article

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Graphical mean curvature flow (English)

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Andreas Savas-Halilaj

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publication date

7 September 2021

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zbMATH Keywords

harmonic map heat flow

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graph submanifolds

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Codazzi equation

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Gauss equation

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/978-3-030-72563-1_20

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Totally real surfaces in the complex 2-space

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Lagrangian surfaces with circle symmetry in the complex two-space

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Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem

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Mean curvature flow of pinched submanifolds to spheres

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The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem

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Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature

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Minimal cones and the Bernstein problem

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Immersions with bounded second fundamental form

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Lagrangian mean curvature flow for entire Lipschitz graphs

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Lagrangian mean curvature flow for entire Lipschitz graphs. II

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Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

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A note on singular time of mean curvature flow

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Mean curvature flow of surface in 4-manifolds

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Singularity of mean curvature flow of Lagrangian submanifolds

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Moving symplectic curves in Kähler-Einstein surfaces

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Géométrie des surfaces lagrangiennes de \(C^ 2\). (Geometry of Lagrangean surfaces of \(C^ 2)\)

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Complete minimal surfaces in Euclidean \(n\)-spaces

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Minimal Surfaces by Moving Frames

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The Gromoll filtration, \(KO\)-characteristic classes and metrics of positive scalar curvature

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Submanifold theory. Beyond an introduction

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Deforming metrics in the direction of their Ricci tensors

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Regularity theory for mean curvature flow

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Mean curvature evolution of entire graphs

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Harmonic Mappings of Riemannian Manifolds

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A strong maximum principle for parabolic systems in a convex set with arbitrary boundary

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Some rigidity theorems for minimal submanifolds of the sphere

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Homotopical effects of dilatation

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Pseudo holomorphic curves in symplectic manifolds

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Contraction of areas vs. topology of mappings

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The inverse function theorem of Nash and Moser

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Three-manifolds with positive Ricci curvature

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Four-manifolds with positive curvature operator

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A Compactness Property for Solutions of the Ricci Flow

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Minimal graphs in $\mathbb {R}^{4}$ with bounded Jacobians

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On the Jacobian of minimal graphs in ℝ<sup>4</sup>

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A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)

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Harmonic mappings and minimal submanifolds

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On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature

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Flow by mean curvature of convex surfaces into spheres

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Asymptotic behavior for singularities of the mean curvature flow

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Compact Riemann surfaces. An introduction to contemporary mathematics

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Riemannian geometry and geometric analysis

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The geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension

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Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system

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Mean curvature flow of the graphs of maps between compact manifolds

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Symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvatures

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Lecture notes on mean curvature flow

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Deforming symplectomorphisms of complex projective spaces by the mean curvature flow

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A Remark on a Theorem of Serge Bernstein

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On Harnack's theorem for elliptic differential equations

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A Bernstein type theorem for minimal volume preserving maps

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Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)

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The Tension Field of the Gauss Map

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Homotopy of area decreasing maps by mean curvature flow

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Bernstein theorems for length and area decreasing minimal maps

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Evolution of contractions by mean curvature flow

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Mean curvature flow of area decreasing maps between Riemann surfaces

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Minimal varieties in Riemannian manifolds

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A Hölder estimate for quasiconformal maps between surfaces in Euclidean space

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Asymptotics for a class of non-linear evolution equations, with applications to geometric problems

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Smoothness theorems for the principal curvatures and principal vectors of a hypersurface

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Diffeomorphisms of the 2-Sphere

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Angle theorems for the Lagrangian mean curvature flow

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Mean Curvature Flow in Higher Codimension: Introduction and Survey

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Mean curvature flows of Lagrangians submanifolds with convex potentials.

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Generalized Lagrangian mean curvature flows in symplectic manifolds

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Curvature decay estimates of graphical mean curvature flow in higher codimensions

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Generalized Lagrangian mean curvature flows: the cotangent bundle case

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Mean curvature flows and isotopy of maps between spheres

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A Remark on Strong Maximum Principle for Parabolic and Elliptic Systems

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Mean curvature flow of surfaces in Einstein four-manifolds.

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Deforming area preserving diffeomorphism of surfaces by mean curvature flow.

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Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension.

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On graphic Bernstein type results in higher codimension

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Subsets of Grassmannians preserved by mean curvature flows

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Lectures on mean curvature flows in higher codimensions

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Mean curvature flows and isotopy problems

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Geometry of harmonic maps

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-72563-1_20

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1982267

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