Abstract
Given a surface of revolution with boundary, we study the extrinsic energy of smooth tangent unit-length vector fields. Fixing continuous tangent unit-length vector fields on the boundary of the surface of revolution, we ask if there is a unique smooth tangent unit-length vector field continuously achieving the boundary data and minimizing energy amongst all smooth tangent unit-length vector fields also continuously achieving the boundary data.
Citation
Yan Digilov. Leobardo Rosales. Anand Shah. Michael Wolf. William Eggert. Robert Hardt. James Hart. Michael Jauch. Rob Lewis. Conor Loftis. Aneesh Mehta. Hector Perez. "Energy-minimizing unit vector fields." Involve 3 (4) 435 - 450, 2010. https://doi.org/10.2140/involve.2010.3.435
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