5 citations · 6 across the 10 of their papers we have counts for
12 papers · 1 filter
CMC hierarchy I: Commuting symmetries and loop algebra
Joe S. Wang
We propose an extension of the structure equation for constant mean curvature (CMC) surfaces in a three dimensional Riemannian space form to the associated CMC hierarchy of evoluti…
CMC hierarchy II: Non-commuting symmetries and affine Kac-Moody algebra
Joe S. Wang
Continuing the previous work, we propose a further extension of the structure equation for a truncated CMC hierarchy by the non-commuting, truncated Virasoro algebra of non-local s…
An extension of heat hierarchy
Joe S. Wang
We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra . The extended heat hierarchy…
CMC hierarchy
Joe S. Wang
We propose an extension of the differential system for constant mean curvature (CMC) surfaces in a three dimensional space form to an associated hierarchy of evolution equations by…
Formal Killing fields for minimal Lagrangian surfaces in complex space forms
Joe S. Wang
The differential system for minimal Lagrangian surfaces in a -dimensional, non-flat, complex space form is an elliptic system defined on the bundle of oriented Lagr…
Conservation laws for surfaces of constant mean curvature in 3-dimensional space forms
Daniel Fox, Joe S. Wang
The exterior differential system for constant mean curvature (CMC) surfaces in a 3-dimensional space form is an elliptic Monge-Ampere system defined on the unit tangent bundle. We…
A fourth order family of minimal surfaces in the 3-sphere
Joe S. Wang
This is a preliminary note on a family of minimal surfaces in the 3-sphere defined by a compatible fourth order equation. The minimal surfaces are geometrically characterized eithe…
Legendrian Gronwall conjecture
Joe S. Wang
The Gronwall conjecture states that a planar 3-web of foliations which admits more than one distinct linearizations is locally equivalent to an algebraic web. We propose an analogu…
Maximum rank of a Legendrian web
Joe S. Wang
We propose the Legendrian web in a contact three manifold as a second order generalization of the planar web. An Abelian relation for a Legendrian web is analogously defined as an…
Degree 3 algebraic minimal surfaces in the 3-sphere
Joe S. Wang
We give a local analytic characterization that a minimal surface in the 3-sphere $\, \ES^3 \subset \R^4$ defined by an irreducible cubic polynomial is one of the Lawson's minimal t…
Projectively deformable Legendrian surfaces
Joe S. Wang
Consider an immersed Legendrian surface in the five dimensional complex projective space equipped with the standard homogeneous contact structure. We introduce a class of fourth or…
On Gronwall conjecture
Joe S. Wang
Gronwall conjecture states that a planar 3-web which admits more than one distinct linearization is locally equivalent to an algebraic web. We give a partial answer to the conjectu…