Calibrated geometries
1982/01/01 by Reese Harvey, H. Blaine Lawson · 117 citations
Mathematics · Engineering · #Point processes and geometric inequalities #3D Shape Modeling and Analysis #Mathematics and Applications
paper · pdf · doi:10.1007/bf02392726
Cited by
- The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
- The angle criterion
- Ideal Gårding polynomials
- Holographic two-point functions of heavy operators revisited
- Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in Cm
- Sphere theorems for Lagrangian and Legendrian submanifolds
- The Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures\n with Torsion
- Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models
- A Bernstein type result for special Lagrangian submanifolds
- Exact solutions to quantum spectral curves by topological string theory
- D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds
- Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants
- Brane Theory Solitons
- Characteristic Classes on Grassmann Manifolds
- Some counterexamples for the special lagrangian curvature equation
- Bernstein Type Results for Lagrangian Graphs with Partially Harmonic Gauss Map
- Relative Liouville Rigidity for Lagrangian Self-Similar Submanifolds with Legendrian Boundary
- On the Global Structure of Some Natural Fibrations of Joyce Manifolds
- Geometric invariants and the Monge-Ampere equation in Kähler geometry
- Detect duality obstruction of calibrations in smooth category
- Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities
- Bernstein Type Theorems For Minimal Lagrangian Graphs of Quaternion Euclidean space
- The Critical LYZ equation in Kähler Geometry
- Some remarks about Cauchy integrals
- Doubling Argument of the Hessian Estimate for the Special Lagrangian Equation on General Phases with Constraints
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Minimal Lagrangian tori in Kahler Einstein manifolds
- Parabolic nef currents on hyperkaehler manifolds
- Generalized special Lagrangian fibration for Calabi-Yau hypersurfaces in toric varieties III: The smooth fibres
- Pseudo-Riemannian geometry calibrates optimal transportation
- Superconformal Quantum Mechanics from M2-branes
- Weighted Hamiltonian stationary Lagrangian submanifolds and generalized Lagrangian mean curvature flows in toric almost Calabi-Yau manifolds
- A class of fully nonlinear equations on Riemannian manifolds with negative curvature
- A Uniqueness Theorem for Gluing Special Lagrangian Submanifolds
- The real Fourier-Mukai transform of Cayley cycles
- Special Lagrangians with multiple isolated singularities
- A Liouville property for gradient graphs and a Bernstein problem for\n Hamiltonian stationary equations
- On the Neumann problem for the degenerate mixed equations arising in conformal geometry
- Coassociative cones that are ruled by 2-planes
- Hamiltonian stationary cones and self-similar solutions in higher dimension
- A singular profile for the relativistic heat cost and the special Lagrangian curvature equation
- Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots
- On the exterior Dirichlet problem for Hessian quotient equations
- The second type singularity of symplectic and Lagrangian mean curvature flows
- Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials
- On the existence of geodesic connecting Lagrangian graphs in ℂn
- Gluing and deformations of asymptotically cylindrical special Lagrangians
- Calibrated Manifolds and Gauge Theory
- Constructing entire minimal graphs by evolving planes
- Doubling and the two-dimensional critical valued Lagrangian phase
- Optimal Regularity for Hölder continuous Hamiltonian Stationary Lagrangian graphs
- Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase
- Subspaces of Multisymplectic Vector Spaces
- Some configuration results for area-minimizing cones
- Connectedness of fibers beyond semitoric systems II: ephemeral singular points
- A compact non-formal closed G2 manifold with b1=1
- On FKM isoparametric hypersurfaces in \mathbbSn × \mathbbSn and new area-minimizing cones
- Geometric Aspects of Mirror Symmetry (with SYZ for Rigid CY manifolds)
- Non-squeezing and capacities for some calibrated geometries
- On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures
- Generic special Lagrangian moduli spaces of a non-Kähler Calabi--Yau threefold
- Uniqueness in the Plateau problem for calibrated currents
- Constructing soliton solutions of geometric flows by separation of variables
- Chern-Simons theory and topological strings
- Generalizations of the Choe-Hoppe helicoid and Clifford cones in\n Euclidean space
- Calibrated Fibrations on Complete Manifolds via Torus Action
- Nodal resolution of quasiregular curves via bubble trees
- Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds
- Twisted products and SO(p)× SO(q)-invariant special Lagrangian cones
- Note on equivalences for degenerations of Calabi-Yau manifolds
- A remark on a Bernstein type theorem for entire Willmore graphs in R3
- Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
- Special Lagrangian Cones
- Stable Forms, Vector Cross Products and Their Applications in Geometry
- Classical worldvolumes as generalised geodesics
- Lagrangian Mean Curvature Flows and Moment maps
- Les Houches Lectures on Fields, Strings and Duality
- Intersecting D-brane Models
- Complete minimal submanifolds with nullity in Euclidean space
- Deformations in G2 Manifolds
- A new class of austere submanifolds
- On algebraic torsion forms and their spin holonomy algebras
- (1,1) forms with specified Lagrangian phase: A priori estimates and\n algebraic obstructions
- The Almost Complex Structure on \mathbb S6 and Related Schrodinger Flows
- Mirror Duality in a Joyce Manifold
- Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
- On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces
- A special Lagrangian type equation for holomorphic line bundles
- Geometry of Lagrangian self-shrinking tori and applications to the Piecewise Lagrangian Mean Curvature Flow
- From tropical curves to special Lagrangians
- Entire conformal curves are affine or have super-Euclidean energy growth
- Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4
- An introduction to conifold transitions
- Nearly Parallel \texorpdfstring\G2G2-Structures with Torus Symmetry
- Dirichlet problem for Krylov type equation in conformal geometry
- The Hasse Principle for Geometric Variational Problems: An Illustration via Area-minimizing Submanifolds
- Special Lagrangian Fibrations II: Geometry
- Counting Associatives in Compact G2 Orbifolds
- Stability and the deformed Hermitian-Yang-Mills equation
- Minimal Surfaces in G2 Manifolds
- Calibrated submanifolds with flat normal bundles
- Compact special Legendrian surfaces in S5
- SU(3)-structures and Special Lagrangian Geometries
- Some results on calibrated submanifolds in Euclidean space of cohomogeneity one and two
- On tamed almost complex four manifolds
- Hessian quotient equations on exterior domains
- On Lawson-Osserman Constructions
- Normal scalar curvature inequality on the focal submanifolds of isoparametric hypersurfaces
- Exterior differential systems: a geometric approach to PDE. Lecture notes from the 1997 Daewoo workshop
- Calibrated Geometry in Hyperkahler Cones, 3-Sasakian Manifolds, and Twistor Spaces
- Surfaces in ℝ7 obtained from harmonic maps in S6
- Manifolds with analytic corners
- On the Lagrangian minimal surface equation and related problems
- The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces
- A class of curvature type equations
- Brane Effective Actions, Kappa-Symmetry and Applications. [europepmc]
- The Geometry of m -Hyperconvex Domains. [europepmc]