Locally isometric families of minimal surfaces.
Lorentzian isothermic surfaces and Bonnet pairs
Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
Maximizing properties of extremal surfaces in general relativity
Maximum principles and minimal surfaces
Maximum principles and nonexistence results for minimal submanifolds.
Maximum Principles for Minimal Surfaces and for Surfaces of Continuous Mean Curvature.
Maximum Principles for Minimal surfaces in R3 Having noncompact boundary and a uniqueness theorem for the helicoid.
Mean curvature flow and self-similar submanifolds
Minimal Boundaries Enclosing A Given Volume.
Minimal hypersurfaces asymptotic to quadratic cones in Zn + 1.
Minimal Hypersurfaces of a Positive Scalar Curvature Manifold.
Minimal immersions of surfaces into 4-dimensional space forms
Minimal Submanifolds in SN and RN.
Minimal surfaces and deformations of holomorphic curves in Kähler-Einstein manifolds
Minimal surfaces bounded by convex curves in parallel planes.
Minimal surfaces in foliated manifolds.
Minimal surfaces in pseudohermitian geometry
We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface equation...
Minimal surfaces of finite type
Minimal surfaces via loop groups.
Minimal Surfaces with Isolated Singularities.