Contents:
Liouville theorems for Dirac-harmonic maps. Journal of mathematical physics , 48 11 , Harmonic nets in metric spaces. Pacific journal of mathematics , 2 , p. Mathematische Zeitschrift , 2 , p. Cohomologies of unipotent harmonic bundles over quasi-projective varieties I: Regularity theorems and energy identities for Dirac-harmonic maps. Mathematische Zeitschrift , 1 , p. Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces. Mathematical research letters , 12 4 , p. Journal of algebraic geometry , 9 1 , p.
Bernstein type theorems for higher codimension. Calculus of variations and partial differential equations , 9 4 , p. American Mathemtical Society [u. Transactions of the American Mathematical Society , 11 , p. Generalized Dirichlet forms and harmonic maps. Calculus of variations and partial differential equations , 5 1 , p. Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties. Journal of differential geometry , 47 3 , p. Harmonic maps and superrigidity. Tsing Hua lectures on geometry and analysis: International Press , Finite energy and totally geodesic maps from locally symmetric spaces of finite volume.
Calculus of variations and partial differential equations , 4 5 , p. Generalized harmonic maps between metric spaces. Geometric analysis and the calculus of variations: Convex functionals and generalized harmonic maps into spaces of non positive curvature. Commentarii mathematici Helvetici , 70 1 , p. Equilibrium maps between metric spaces. Calculus of variations and partial differential equations , 2 2 , p. A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry.
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Acta mathematica , 2 , p. Harmonic maps and group representations. The geometric calculus of variations: Expositiones mathematicae , 6 2 , p. Proceedings of the International Congress of Mathematicians: Harmonic maps which solve a free-boundary problem. On the existence of harmonic maps from a surface into the real projective plane.
Compositio mathematica , 59 1 , p. Lectures on harmonic maps: Harmonic mappings and minimal immersions: A note on harmonic maps between surfaces. A conformally invariant variational problem for mappings between Riemannian manifolds. The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values.
Journal of differential geometry , 19 2 , p. Almost linear functions and a-priori estimates for harmonic maps. Boundary regularity for minima of certain quadratic functionals. Mathematische Annalen , 4 , p. Existence proofs for harmonic mappings with the help of a maximum principle. Mathematische Zeitschrift , 4 , p. Manuscripta mathematica , 40 1 , p. On the existence of harmonic diffeomorphisms between surfaces. Inventiones mathematicae , 66 2 , p.
The boundary value problem for Dirac-harmonic maps. Vom Experiment zur nichtlinearen Analysis: Proceedings of the American Mathematical Society , 8 , p. Group actions, gauge transformations, and the calculus of variations. On the rigidity of certain discrete groups and algebraic varieties. The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions.
A maximum principle for harmonic mappings which solve a Dirichlet problem. Manuscripta mathematica , 38 1 , p. Manuscripta mathematica , 34 1 , p. Univalency of harmonic mappings between surfaces. Harmonic mappings and minimal submanifolds. Inventiones mathematicae , 62 2 , p. Minimal surfaces of varying topological type free boundary problems unstable minimal surfaces minimal varifolds Bernstein theorems.
A spherical Bernstein theorem for minimal submanifolds of higher codimension. Calculus of variations and partial differential equations , 57 6 , Submanifolds with constant Jordan angles and rigidity of the Lawson-Osserman cone. The Asian journal of mathematics , 22 1 , p. Existence and non-existence of minimal graphs. Boundary regularity for minimal graphs and mean curvature flows with higher codimension. The geometric meaning of curvature: Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature.
American journal of mathematics , 2 , p. Minimal graphic functions on manifolds of nonnegative Ricci curvature. Communications on pure and applied mathematics , 69 2 , p. Curvature estimates for minimal submanifolds of higher codimension and small G-rank. Transactions of the American Mathematical Society , 12 , p. Die Optimierung von Formen und Gestalten. Mathematisch-Naturwissenschaftliche Klasse ; ,1.
A Bernstein theorem for special Lagrangian graphs. Calculus of variations and partial differential equations , 15 3 , p. Some aspects of the global geometry of entire space-like submanifolds. Results in mathematics , 40 , p. Orientable and nonorientable minimal surfaces.
World Congress of Nonlinear Analysts ' A weak notion of mean curvature and a generalized mean curvature flow for singular sets. Advances in geometric analysis and continuum mechanics: Bifurcation of minimal surfaces in Riemannian manifolds. Transactions of the American Mathematical Society , 1 , p. Unstable solutions of two-dimensional geometric variational problems. Proceedings of symposia in pure mathematics ; 54,1. Morse-Conley theory for minimal surfaces of varying topological type. Inventiones mathematicae , 1 , p.
Jahresbericht der Deutschen Mathematiker-Vereinigung , 91 1 , p. Embedded minimal surfaces in manifolds diffeomorphic to the three-dimensional ball or sphere. Journal of differential geometry , 30 2 , p. Embedded minimal disks with a free boundary on a polyhedron in R3. Mathematische Zeitschrift , 3 , p.
Continuity of minimal surfaces with piecewise smooth free boundaries. On the existence of embedded minimal surfaces of higher genus with free boundaries in Riemannian manifolds. Variational methods for free surface interfaces: Existence results for embedded minimal surfaces of controlled topological type, Pt. On the regularity of minimal surfaces with free boundaries in Riemannian manifolds. Manuscripta mathematica , 56 3 , p. On embedded minimal disks in convex bodies.
Allard type regularity results for varifolds with free boundaries. Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds. Universal moduli spaces of Riemann surfaces. Journal of geometry and physics , , p. The geometry of Grassmannian manifolds and Bernstein-type theorems for higher codimension. Harmonic mappings and moduli spaces of Riemann surfaces. Surveys in differential geometry ; Cohomologies of unipotent harmonic bundles over noncompact curves. Journal of algebraic geometry , 16 3 , p. The first L2-Betti number of certain homogeneous spaces, including classifying spaces for variations of Hodge structures.
International journal of mathematics , 15 2 , p.
Arakelov type inequalities for Hodge bundles over algebraic varieties. Hodge bundles over algebraic curves. Journal of algebraic geometry , 11 3 , p. Representations of fundamental groups of algebraic manifolds and their restrictions to fibers of a fibration. Mathematical research letters , 8 4 , p. Vanishing theorems for L2-cohomology groups. Communications in analysis and geometry , 8 1 , p. Harmonic maps and rigidity theorems for spaces of nonpositive curvature.
Communications in analysis and geometry , 7 4 , p.
Metrics of Riemann surfaces and the geometry of moduli spaces. Geometric theory of singular phenomena in partial differential equations: Symposia mathematica ; Manuscripta mathematica , 89 1 , p. Harmonic maps and Sl r,C representations of fundamental groups of quasiprojective manifolds. Journal of algebraic geometry , 5 1 , p. Harmonic maps of infinite energy and rigidity results for quasiprojective varieties.
Mathematical research letters , 1 6 , p. Applications of quasilinear PDE to algebraic geometry and arithmetic lattices. Conference proceedings and lecture notes in algebraic geometry ; 1. Harmonic mappings and algebraic varieties over function fields.
American journal of mathematics , 6 , p. Group actions, gauge transformations, and the calculus of variations. Mathematische Annalen , 1 , p. Prospects in complex geometry: The geometry of moduli spaces of stable vector bundles over Riemann surfaces. Global differential geometry and global analysis: On the rigidity of certain discrete groups and algebraic varieties. Mathematische Annalen , , p. The strong rigidity of locally symmetric complex manifolds of rank one and finite volume.
Mathematische Annalen , 2 , p. Let us wish you a happy birthday!
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