Partial Differential Equations on Manifolds: Open problems in geometry / S. T. YauPart 1: |
Questions and answers about area-minimizing surfaces and geometric measure theory / F. Almgren |
On the geometrical origin and the solutions of a degenerate Monge-Ampere equation / D. Bao ; T. Ratiu |
Differential geometry and the design of gradient algorithms / R. W. Brockett |
Spectral geometry of $V$-manifolds and its application to harmonic maps / Y.-J. Chiang |
Constructing harmonic maps into the hyperbolic space / H. I. Choi ; A. Treibergs |
Spherical minimal immersions of spherical space forms / D. DeTurck ; W. Ziller |
Banach manifolds of solutions to nonlinear partial differential equations, and relations with finite-dimensional manifolds / J. Dorfmeister |
Some new harmonic maps / R. Hardt |
Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces / J. Hass ; J. T. Pitts ; J. H. Rubinstein |
Closed minimal submanifolds in the spheres / W.-Y. Hsiang |
Local and global behaviour of hypersurfaces moving by mean curvature / G. Huisken |
The level-set flow on a manifold / T. Ilmanen |
Unstable solutions of two-dimensional geometric variational problems / J. Jost |
Harmonic maps and superrigidity |
Harmonic functions of polynomial growth on complete manifolds / A. Kasue |
The structure of constant mean curvature embeddings in Euclidean three space / N. Korevaar ; R. Kusner |
Uniformization of spherical CR manifolds and the CR Yamabe problem / Z. Li |
The theory of harmonic functions and its relation to geometry / P. Li |
Harmonic maps with prescribed singularities / Y. Y. Li ; G. Tian |
Some recent results on harmonic maps to spheres / F. H. Lin |
The geometry, topology, and existence of periodic minimal surfaces / W. H. Meeks III |
Soap films and mathematics / F. Morgan |
Uniform boundary regularity estimates for minima of certain quadratic functionals / L. H. Mou |
Self-similar solutions and asymptotic behavior of flows of nonparametric surfaces driven by Gauss or mean curvature / V. Oliker |
A report on geometric quantization / P. L. Robinson |
Motion of curves by crystalline curvature, including triple junctions and boundary points / J. E. Taylor |
Recent progress in submanifold geometry / C.-L. Terng |
Constant mean curvature surfaces in the Heisenberg group / P. Tomter |
Complete immersions of constant mean curvature / H. C. Wente |
Banach manifolds of minimal surfaces in the 4-sphere / H. Wu |
On the isolatedness for the solutions of Plateau's problem / S. Zheng |
Geometry in Mathematical Physics and Related Topics: Invariants of Gauss maps of theta divisors / M. Adams ; C. McCrory ; T. Shifrin ; R. VarleyPart 2: |
On characteristics of hypersurfaces in symplectic manifolds / A. Banyaga |
Disprisoning and pseudoconvex manifolds / J. K. Beem |
On the holonomy of Lorentzian manifolds / L. B. Bergery ; A. Ikemakhen |
Spinors, Dirac operators, and changes of metrics / J.-P. Bourguignon |
The Hyperkahler geometry of the ADHM construction and quaternionic geometric invariant theory / C. P. Boyer ; B. M. Mann |
Non-abelian vortices and a new Yang-Mills-Higgs energy / S. B. Bradlow |
What are the best almost-complex structures on the 6-sphere? / E. Calabi ; H. Gluck |
The failure of complex and symplectic manifolds to be Kahlerian / L. A. Cordero ; M. Fernandez ; A. Gray |
Nonabelian Hodge theory / K. Corlette |
Geometric invariants and their adiabatic limits / X. Dai |
Geometry of elementary particles / A. Derdzinski |
Existence of connections with prescribed Yang-Mills currents / H. Goldschmidt ; J. Talvacchia |
Vector bundles over homogeneous spaces and complete, locally symmetric spaces / L. D. Drager ; R. L. Foote |
Margulis space-times / T. A. Drumm |
Incomplete flat homogeneous geometries / D. Duncan ; E. Ihrig |
Geodesic and causal behavior of gravitational plane waves: astigmatic conjugacy / P. E. Ehrlich ; G. G. Emch |
Curvature of singular spaces via the normal cycle / J. H. G. Fu |
The nonintegrable phase factor and gauge theory / R. O. Fulp |
The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity / G. J. Galloway |
Weyl structures on self-dual conformal manifolds / P. Gauduchon |
Chiral anomalies and Dirac families in Riemannian foliations / J. F. Glazebrook ; F. W. Kamber |
What is the shape of space in a spacetime? / S. G. Harris |
The kinematics of the gravitational field / A. D. Helfer |
Support theorems in integral geometry and their applications / S. Helgason |
Killing spinors and eigenvalues of the Dirac operator / O. Hijazi |
Einstein metrics on circle bundles / G. R. Jensen ; M. Rigoli |
Topological and differentiable structures of the complement of an arrangement of hyperplanes / T. Jiang ; S. S.-T. Yau |
The relationship between the moduli spaces of vector bundles on $K3$ surfaces and Enriques surfaces / H. Kim |
Self-dual manifolds with symmetry / C. LeBrun ; Y. S. Poon |
Remarks on the Skyrme model / E. H. Lieb |
Geometric settings for quantum systems with isospin / E. B. Lin |
Heat kernels on covering spaces and topological invariants / J. Lott |
The heat kernels of symmetric spaces / Q.-K. Lu |
CR-geometry and deformations of isolated singularities / J. J. Millson |
Generalized symplectic geometry on the frame bundle of a manifold / L. K. Norris |
Complex geometry and string theory / D. H. Phong |
Constructing non-self-dual Yang-Mills connections on $S^4$ with arbitrary Chern number / L. Sadun ; J. Segert |
The Yang-Mills measure for the two-sphere / A. Sengupta |
Examples of nonminimal critical points in gauge theory / L. M. Sibner |
Spectral invariants of pseudoconformal manifolds / N. K. Stanton |
$L_2$-cohomology and Index theory of noncompact manifolds / M. Stern |
On Calabi-Yau three-folds fibered over smooth complex surfaces / W.-W. Sung |
Degeneration of Kahler-Einstein manifolds. I |
Flat connections on products of determinant bundles / Y. L. L. Tong |
Surfaces Riemanniennes a singularites simples / M. Troyanov |
Remarks on certain higher-dimensional quasi-Fuchsian domains / F. Zheng |
$L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds / S. Zucker |
Riemannian Geometry: Some concepts and methods in Riemannian geometry / R. E. GreenePart 3: |
Isometric immersions of $H^n$ into $H^n+1$ / K. Abe ; A. Haas |
The distance-geometry of Riemannian manifolds with boundary / S. B. Alexander ; I. D. Berg ; R. L. Bishop |
Hypersurfaces and nonnegative curvature / R. J. Currier |
Shortening space curves / S. J. Altschuler |
Degeneration of metrics with bounded curvature and applications to critical metrics of Riemannian functionals / M. T. Anderson |
The geometry of totally geodesic hypersurfaces in hyperbolic manifolds / A. Basmajian |
Finiteness of diffeomorphism types of isospectral manifolds / R. Brooks ; P. Perry ; P. P. V |
Small eigenvalues of the Laplacian on negatively curved manifolds / P. Buser ; B. Colbois ; J. Dodziuk |
Geometrically tame hyperbolic $3$-manifolds / R. D. Canary |
Isoperimetric constants and large time heat diffusion in Riemannian manifolds / I. Chavel ; E. A. Feldman |
Large time behavior of solutions of the heat equation / L. Karp |
Manifolds with $2$-nonnegative curvature operator / H. Chen |
The geometry of isospectral deformations / C. Gordon ; D. Webb |
Quadric representation of a submanifold and spectral geometry / I. Dimitric |
Embedded eigenvalues for asymptotically flat surfaces / H. Donnelly |
Manifolds of nonpositive curvature / P. Eberlein ; U. Hamenstadt ; V. Schroeder |
Topological rigidity for compact nonpositively curved manifolds / F. T. Farrell ; L. E. Jones |
Almost nonnegatively curved manifolds / K. Fukaya ; T. Yamaguchi |
Local structure of framed manifolds / P. Ghanaat |
Constant affine mean curvature hypersurfaces of decomposable type / S. Gigena |
Heat equation asymptotics / P. B. Gilkey |
Nonnegatively curved manifolds which are flat outside a compact set |
Spaces of nonnegative curvature / D. Gromoll |
Critical point theory for distance functions / K. Grove |
Spectral geometry in higher ranks: Closed geodesics and flat tori / D. Gurarie |
Ellipticity of local isometric embeddings / C.-K. Han |
Curve flows on surfaces and intersections of curves / P. Scott |
Curve shortening, equivariant Morse theory, and closed geodesics on the $2$-sphere / N. Hingston |
Morse theory for geodesics / D. Kalish |
On some metrics on $S^2\times S^2$ / M. Kuranishi |
Curve-straightening / A. Linner |
Ball covering property and nonnegative Ricci curvature outside a compact set / Z.-D. Liu |
General conjugate Loci are not closed / C. M. Margerin |
Collapsing of Riemannian manifolds and their excesses / Y. Otsu |
Gromov-Hausdorff convergence of metric spaces |
Cartan connections / E. A. Ruh |
Eigenvalue estimates for the Laplacian with lower order terms on a compact Riemannian manifold / A. G. Setti |
Positive Ricci curvature on compact simply connected $4$-manifolds / J.-P. Sha ; D. Yang |
Volume growth and finite topological type / Z. Shen ; G. Wei |
Recent developments in sphere theorems / K. Shiohama |
On the excess of open manifolds / T. Shioya |
Local theory of affine $2$-spheres / U. Simon ; C. P. Wang |
Riemannian manifolds with completely integrable geodesic flows / R. J. Spatzier |
Differentiable structure on spheres and curvature / Y. Suyama |
Spectral theory for operator families on Riemannian manifolds / Z. I. Szabo |
Riemannian foliations and tautness / P. Tondeur |
Eigenvalue problems for manifolds with singularities / J. Tysk |
Some rigidity aspects of Riemannian fibrations / G. Walschap |
Hausdorff convergence and sphere theorems / J.-Y. Wu |
Automorphism groups and fundamental groups of geometric manifolds / R. J. Zimmer |
Partial Differential Equations on Manifolds: Open problems in geometry / S. T. YauPart 1: |
Questions and answers about area-minimizing surfaces and geometric measure theory / F. Almgren |
On the geometrical origin and the solutions of a degenerate Monge-Ampere equation / D. Bao ; T. Ratiu |