2 citations · 5 across the 9 of their papers we have counts for
9 papers
Orthogonal coordinates on 4 dimensional Kähler manifolds
David L. Johnson
The existence of orthogonal local coordinates is a generalization of the manifold being conformally flat. It is always possible to construct orthogonal coordinates on 2-manifolds,…
Kähler manifolds with orthogonal coordinates
David L. Johnson
If one could assume that local coordinates in a Riemannian manifold were orthogonal, then local expressions for differential operators, and curvature computations, would be simplif…
Extrinsic Ricci Flow on Surfaces of Revolution
Vincent Coll, Jeff Dodd, David L. Johnson
An extrinsic representation of a Ricci flow on a differentiable n-manifold M is a family of submanifolds S(t), each smoothly embedded in R^{n+k}, evolving as a function of time t s…
Minimal surfaces in circle bundles over Riemann surfaces
Pablo M. Chacon, David L. Johnson
For a compact 3-manifold which is a circle bundle over a compact Riemann surface with even Euler number , and with a Riemannian metric compatible with the bundle proj…
Minimal tori with low nullity
David L. Johnson, Oscar Perdomo
The nullity of a minimal submanifold is the dimension of the nullspace of the second variation of the area functional. That space contains as a subspace the effect…
Chern-simons forms on associated bundles, and boundary terms
David L. Johnson
Let be a principle bundle over a compact manifold with compact structural group . For any -invariant polynomial , The transgressive forms defined by Chern…