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Lehigh Shield

David Johnson

Professor Emeritus

dlj0@lehigh.edu
Education:

Ph.D., MIT, 1977

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Additional Interests

  • Differential geometry
  • Complex geometry
  • Geometric measure theory

Representative Publications: 

Totally geodesic foliations, (with L. B. Whitt), J. Diff. Geo. 15 (1980), 225-235. Volumes of flows, Proc. AMS 104 (1988), 923-931. Some Sharp Isoperimetric Theorems for Riemannian Manifolds (with Frank Morgan). Indiana University Mathematics Journal, 49 (2000), 1017-1042. Partial regularity of mass-minimizing rectifiable sections, (with Penny Smith), Annals of Global Analysis and Geometry 30 (2006), 239-287. Chern-Simons forms on associated bundles, and boundary terms, Geometria Dedicata 120 (2007), 23-34. Minimal surfaces in circle bundles over Riemann surfaces, (with P. Chacon), Bull. London Math. Soc., 43(1) (2011), 33-43.