512 citations
- Argonne National LaboratoryUS6 papers
- University of California, Santa BarbaraUS6 papers
- Fermi National Accelerator LaboratoryUS5 papers
- University of MichiganUS5 papers
- Dartmouth CollegeUS4 papers
- Dartmouth HospitalGB4 papers
- Iowa State UniversityUS4 papers
- Northwestern UniversityUS4 papers
- Ohio UniversityUS4 papers
- Ruhr University BochumDE4 papers
- University of ArizonaUS4 papers
- University of Central FloridaUS4 papers
5 papers · 1 filter
A class of variational functionals in conformal geometry
Sun-Yung Alice Chang, Hao Fang
We derive a class of variational functionals which arise naturally in conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional…
Symmetries in Differential Geometry: A Computational Approach to Prolongations
Thomas Branson, Alfredo Villanueva
The aim of this work is to develop a systematic manner to close overdetermined systems arising from conformal Killing tensors (CKT). The research performs this action for 1-tensor…
Variational status of a class of fully nonlinear curvature prescription problems
Thomas P. Branson, A. Rod Gover
Prescribing, by conformal transformation, the kth-elementary symmetric polynomial of the Schouten tensor to be constant is a generalisation of the Yamabe problem. On compact Ri…
Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature
Thomas Branson, A. Rod Gover
On conformal manifolds of even dimension we construct a family of new conformally invariant differential complexes. Each bundle in each of these complexes appears either…
The Topological Classification of Minimal Surfaces in R^3
Charles Frohman, William H. Meeks
We give a complete topological classification of minimal surfaces in Euclidian three-space.